{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 对数线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w = 2\n",
    "b = 1\n",
    "\n",
    "x = np.linspace(-10,10,1000)\n",
    "y = w*x+b\n",
    "plt.figure(figsize=(10,8),dpi=100)\n",
    "plt.ylim([0,5])\n",
    "plt.xlim([-9,9])\n",
    "plt.plot(x,y,'r',label='$y=w^Tx+b$')\n",
    "plt.plot(x,np.exp(y),'black',label='$y=e^{w^{T}x+b}$')\n",
    "plt.plot(x,1/(1+np.exp(-y)),'b',label='$Sigmoid(w^Tx+b)$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 监督降维技术：线性判别分析（LDA）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 生成二维测试数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8),dpi=100)\n",
    "x1 = np.random.normal([-1,2],[2,2],size=(20,2))\n",
    "x2 = np.random.normal([10,10],[2,2],size=(20,2))\n",
    "x3 = np.random.normal([10,-15],[2,2],size=(20,2))\n",
    "x1 = np.concatenate((x1,np.zeros((len(x1),1))),axis=1)\n",
    "x2 = np.concatenate((x2,np.ones((len(x2),1))),axis=1)\n",
    "x3 = np.concatenate((x3,2*np.ones((len(x3),1))),axis=1)\n",
    "input_data = np.concatenate((x1,x2,x3),axis=0)\n",
    "plt.xlim([-10,25])\n",
    "plt.ylim([-30,30])\n",
    "plt.scatter(x1[:,0],x1[:,1],c='r')\n",
    "plt.scatter(x2[:,0],x2[:,1],c='g')\n",
    "plt.scatter(x3[:,0],x3[:,1],c='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Python实现LDA降维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def LDA(inputs, ndim):\n",
    "    # 获取类别数\n",
    "    k = len(pd.Series(inputs[:,-1]).value_counts())\n",
    "    # 获取特征数\n",
    "    c = inputs.shape[-1]-1\n",
    "    # 获取每一类的个数\n",
    "    m = pd.Series(inputs[:,-1]).value_counts().values\n",
    "    # 获取mu值\n",
    "    mu_i = np.zeros((k,c))\n",
    "    mu = np.average(inputs[:,:-1],axis=0).reshape((1,c))\n",
    "    for i in range(k):\n",
    "        if i == 0:\n",
    "            mu_i[i] = np.average(inputs[:m[i],:-1],axis=0).reshape((1,c))\n",
    "        else:\n",
    "            mu_i[i] = np.average(inputs[i*m[i]-1:(i+1)*m[i]-1,:-1],axis=0).reshape((1,c))\n",
    "    # 获取类间散度矩阵\n",
    "    Sb = np.zeros((c,c))\n",
    "    for i in range(k):\n",
    "        Sb += m[i]*np.dot(np.transpose(mu_i[i]-mu), mu_i[i]-mu)\n",
    "    # 获取类内散度矩阵\n",
    "    Sw = np.zeros((c,c))\n",
    "    for i in range(k):\n",
    "        Sw_i = np.zeros((c,c))\n",
    "        for j in range(m[i]):\n",
    "            if i == 0:\n",
    "                Sw_i += np.dot(np.transpose(inputs[:m[i],:-1]-mu_i[i]),inputs[:m[i],:-1]-mu_i[i])\n",
    "        Sw += Sw_i\n",
    "    # 求解\n",
    "    eig_value, feature_vector = np.linalg.eig(np.dot(np.linalg.inv(Sw),Sb))\n",
    "    eig_val_index = np.argsort(eig_value)\n",
    "    eig_val_index = eig_val_index[:(-ndim-1):-1]\n",
    "    w = feature_vector[:,eig_val_index]\n",
    "    return w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.02722442, -0.99302382],\n",
       "       [-0.99962935, -0.1179139 ]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w = LDA(input_data, 2)\n",
    "w"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 效果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8),dpi=100)\n",
    "x1_new = np.dot(input_data[input_data[:,-1]==0][:,:-1],w)\n",
    "x2_new = np.dot(input_data[input_data[:,-1]==1][:,:-1],w)\n",
    "x3_new = np.dot(input_data[input_data[:,-1]==2][:,:-1],w)\n",
    "plt.xlim([-20,25])\n",
    "plt.ylim([-30,30])\n",
    "plt.scatter(x1_new[:,0],x1_new[:,1],c='r')\n",
    "plt.scatter(x2_new[:,0],x2_new[:,1],c='g')\n",
    "plt.scatter(x3_new[:,0],x3_new[:,1],c='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 应用（鸢尾花数据集iris）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 导入数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "\n",
    "iris = load_iris()\n",
    "X = iris.data\n",
    "Y = iris.target\n",
    "Y = Y.reshape(len(Y),1)\n",
    "iris = np.concatenate((X,Y),axis=1)\n",
    "\n",
    "w_iris3d = LDA(iris,3)\n",
    "w_iris2d = LDA(iris,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 前三维可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "fig = plt.figure(figsize=(8,8),dpi=100)\n",
    "ax = Axes3D(fig)\n",
    "ax.scatter(iris[iris[:,-1]==0][:,0], iris[iris[:,-1]==0][:,1], iris[iris[:,-1]==0][:,2],c='r')\n",
    "ax.scatter(iris[iris[:,-1]==1][:,0], iris[iris[:,-1]==1][:,1], iris[iris[:,-1]==1][:,2],c='g')\n",
    "ax.scatter(iris[iris[:,-1]==2][:,0], iris[iris[:,-1]==2][:,1], iris[iris[:,-1]==2][:,2],c='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LDA降维后效果"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 原四维降至二维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8),dpi=100)\n",
    "plt.xlim([-7,0])\n",
    "plt.xlim([-8,0])\n",
    "plt.scatter(np.dot(iris[iris[:,-1]==0][:,:-1], w_iris2d)[:,0], np.dot(iris[iris[:,-1]==0][:,:-1], w_iris2d)[:,1],c='r')\n",
    "plt.scatter(np.dot(iris[iris[:,-1]==1][:,:-1], w_iris2d)[:,0], np.dot(iris[iris[:,-1]==1][:,:-1], w_iris2d)[:,1],c='g')\n",
    "plt.scatter(np.dot(iris[iris[:,-1]==2][:,:-1], w_iris2d)[:,0], np.dot(iris[iris[:,-1]==2][:,:-1], w_iris2d)[:,1],c='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 原四维降至三维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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K0jwej7TXiEhkDDNEPaxdm/xr6cWVmVKphPn5edy9e/eRsjK77I7H5/NhaGgIQ0NDAIBcLodkMglVVTE3N4d8Po9YLGaGm2g06vjTYFF+niQumcOME2fk2A031kM8iag1DDNEPcr4IC2VSh0JMYZe2zNzeHiIyclJuFyuhsrKGtkz0wq/34+RkRGMjIxA13VkMhmoqgpVVbG+vv7IGTfhcPjYTZhkDV8yBwJZrznQ3MpMPY2EG5fL9cg5N7L+/Im6iWGGqMcYZ8dYT6Lv5AekaCszrQSrVsvKqo3HyWujKApCoRBCoZDZBvrw8NAMN8vLy1AUpWy/jd020JxcdZas11v2INaJFWuGG6L2YJgh6iHdKCurJNqemWY4WVZWqZ3XRlEUhMNhhMNhnDlzBpqmIZVKIZlMmm2gPR5PWbgJBoNtGw/ZI8rrphntWN3oFCfKzOyyhhvj514t3FQ2FGC4IXoUwwxRj2jn2TF2iFZmZncsdsvKqjlqUtqNYBmNRhGNRnHu3Dlomoa9vT2oqoq7d+9iYWEBfr+/LNz4/f6OjpHKyTpZZRBrnvEzrxZu8vk8crkcww1RDQwzRJLrxNkxdoi2MmNnLHfv3sX09DTOnDmDixcvNjXBqff1unltXC7XI22gjXCztraG2dnZsjbQ8Xi862M+TmS+zjKXmXVjZaYWhhsiexhmiCRmPGk3aqyNjjndJOOeGaOsbGtrC08//bSjZWWV4xHl2gAP20APDAxgYGAAAFAoFMraQKfTaXi9XgQCAezs7CAej7e1DbSTuv06aJas45Y5zIg+9nrh5p133sHly5cRDAYZbuhYYpghkpB18+i7776Lp556ypyQdptoZWb1woO1rOzq1atNlZXZGY/IvF4vTpw4gRMnTgB42AZ6bm4OuVwOCwsLyOVyiEajZWfcyLpPQkQiBV27RA8EtXS7zMwua7jRdR37+/vmingul0M+nwcArtzQscEwQySZapv8RZoEiTSeemHGibIyu0S5No3w+/0IhUIIh8O4cOFCWRvozc1NFItFxONxM9xEIhEhJksyXeNKIly/Zsk6dtmDGACzE5oRcIz/GG7oOGCYIZJItbNjXC6XMCshgFilVEeNxVpW9swzz5gHUnZiPDIyrmEwGEQwGMTo6Ch0XUc6nYaqqkgmk1hZWQGAsnDT19cn7ffcDaK8bpohcyAQbc+MHcZ7v/VBjLXcuF64sbaBZrghWTHMEEmg1tkxIpV1AWKNp1qYqexW1snWxCIFvVYpioK+vj709fXh9OnT0HUdBwcHUFUVOzs7WFpagtvtNoNNIpFAIBDgZKkGmQOB7GOXqczMqlqYqVQr3GSzWfPPWMONx+PpejMZokYxzBAJrt7ZMSKVdQFijacyWG1ubmJmZqajZWWya3QyoyiK2QZ6bGwMmqZhf38fqqri3r17uHnzJttA9yhjYizrxFfmlRlrmVmj7IYboyyN4YZExTBDJLBGzo5hmdnRjOtVKpUwNzeHe/fudbSsrNp4RLk27eZyuRCPxxGPxzE+Po5SqWR2SjPaQIdCobJw4/V6Hfv6Mk66ZA4EgJzXHJD7uhtBrJXxM9yQ7BhmiARkPTvGKIE46kNDpLIuQKzxKIqCQqGAH/zgBx0rK6v34X5cwkwlt9t9ZBvo5eVlTE9PIxwOI5FImJ3SPB5+RMnAuKdlndjKXmbm9HVvNNwY5WgMN9Rt/KQgEoymaSgWi0eWlVUSqawLEGv1YX9/H8lkEmNjY0KUlcn6Qd+On2dlG+h8Pm92Srt58yay2WxZG+hoNNrwGTei3H92ybpCIHuYkbnMzFi1b6ejwo2maQw3JASGGSJBWM+OMSY1jXwQiFZmJkK4spaVRSIRXLp0qavjser2tRGVz+fD8PCweWBptTbQsVisrA10t8NpO8g4+ZM9zMgaIoHurCo1Em5cLtcjraAZbqhdGGaIBFC5yd9ODbRIZV1A98eTSqUwOTkJj8eDxx57DKqqdvTr1/q5yfhB3q2VtqPaQKuqitXVVei6XrbfphfaQMsadHshzMgajEVYVaoVbnK5HLLZLMMNtRXDDFGXVTs7xg4RVkKsullmZnQrO3v2LB5//HFsbm7y2vSAam2gU6mUecbN7du34XK5zGBTKpWkvc4yTu5kDjO90IlNtCBW+TDOuMalUgmlUonhhhzHMEPUJbXOjrGDZWZHdyvrVnio9XOUcZIt2pgVRUEkEkEkEsHZs2ehaRoODg6QTCZx79497O3tAQBmZ2fNgBMIBLo86vpEu86Nkj3MAPZaG4tExDBTyQg3xjgrw8309DROnz6NcDjMcENNYZgh6oJ6Z8fY0e2yrkqdHo+1rKyyW5loKyH8YG4Pl8uFWCyGWCyG8fFxbG5uYm1tDX6/HxsbG5ifn0cwGDSDTTweh8/n6/awq5LxHhHpNWaXzEEMkLNErjLcPHjwAKOjo2a4yeVyVQ/xbLUFNfUuhhmiDtM0Dfl8vqXVGKvjXGZWWVZW+aEuYtAD5NpwLMs4rYzylfPnzwMAisWi2Qb6zp07SKVSCIfDZeFGhDbQIr2O7bDTsEQ0xvuDjGMHxNgz0ypN08wVGaB85aZYLJr3VmW3NFnvOXJe99+9iY4JO2fH2OFyucwVHhF0Ilw1egimqB90MoWZXuDxeDA4OIjBwUEA5W2gFxcXkc1mEYlEzHATi8UabgPtJFnvC1lDGCD/yowMZWb1VH4PR5WlFYtFFAoFhht6BMMMUQfYPTvGDhFXH9o5nlplZdXGItJEix+0YqhsA53NZs1wMzc3h0KhYJ5xk0gkOtoGWsZ7RNYQBnDPTLdpmla3VI7hhuphmCFqo2bPjrFDtDKzdo6nXllZJdHCjEHEMdUi23jtCgQCGBkZwcjICHRdLzvjZn19HZqmIR6Pmys34XC4LZMkWa+zzGFG9jIzGffMWBnX3873YCfcGHtujIYC1JsYZojaxFpWBtg7O8YO0bqZtSNAWMvKnn32WfPU+G6MpRWyTpiOE0VREAqFEAqFcOrUqbI20KqqYnl5GS6XqyzchEIhR1daZSNzmOmFMCDrtQfeCzOtlHUy3BDDDFEbWM+Osb7JtkOvl5nZKSurNhYRw4xIY6pH1omSk+GiWhtoVVWxvb2NW7duwev1lh3g2WwbaJnuCyvZw4ysYwd6o8wMcPZ9pl64Ad5rEmKUpDHcyI1hhshBTp0dY0cvl5ltbGxgdna24bKySqKFGYOIY6qF432PtQ30uXPnUCqVsL+/D1VVsbm5ifn5eQQCgbJwY6cNtKwTa1nH3QsrGzJPwjvxOXlUuCkUCsjn8wAYbmTHMEPkECfPjrGjF8vMSqUSZmdncf/+fVtlZe0Yi5NknjRRdW632wwtQHkb6JWVFczMzKCvr68s3BzVBlqke9UOmVc3ZB47IH+YKZVKHR9/vXBj/D7DjTwYZogc4PTZMXb0WpmZtazs1VdfbenkdtHCjEHEMZEzqrWBNsLN0tISMplMzTbQMk6sZQ4Esu+ZkfnaA2KEsWrhxigVN8rSGG7ExjBD1AKjrMzoVtbpIAOIV2bWSoAwysrGxsZw4cKFlj8sRAszMk46ZByzSHw+H4aGhsyzkHK5HFRVRTKZxNzcHPL5PGKxGPr7+5HL5eD3+7s8YvtknlD3QplZN85EcooIYaaS0SzA0Ei48Xg8Ut9HsmOYIWpSt8rKKolWZtZMuHKqrKySqGFGpDE1Qrbxiszv9+PkyZM4efLkI22gjf/29/fNlZtIJCL8JEnmMCP7yoymafB6vd0eRtNkCGO1wk0+n0cul8PBwQFGR0cZbrqEYYaoCdbVmG4fzCXihN3OeIyyMq/X23JZWatj6RQRx0SdV9kGenp6Gj6fD8FgEKqq4s6dO1AUpWy/jZNtoJ0ie5iRdeyAmCsbdsg4/spwo6oq1tbWcOLECXPPjcvlqnqIJ7UHwwyRDZ06O8YO0VZm7OyZcbqsrNpYRAoO3b5XjguZJ6h+vx9nzpzBmTNnoGkaUqkUksmk2Qba4/GUhRs7rcrbRebrLXuZmewrS91oAOA0Y3XJaOxRuXKzubmJH//xH8fGxobwq1CyYpghapCmadje3kYmk8Hw8LAwb8CihZlGysyKxSLm5uYcLyurJFqYAcQcE4nDOrF2uVyIRqOIRqM4d+4cNE3D3t4eVFXF3bt3sbCwAL/fXxZuurHnRuYwI3sYkD2MybgyU6myVK5y5SadTiOVSkn9cxIdwwxRHdanLEZN+8jISLeHZRKxm1mtyXo7y8rsjqVbRBzTUfgB3Dn17guXy/VIG2gj3KytrWF2drasDXQ8Hu/IfgqZwwzDQHfJPn6g/upSOp1GMBiU+j4THcMMUQ2Vm/zdbrdwE1ERu5kdFa7W19cxNzfXtrKyamMR6doAcoYD0a5hL7Nzf3g8HgwMDGBgYAAAUCgUzDbQt2/fxuHhYVkb6Hg83pYyF5nDjMxjB+QPA7KPH3gYZmq9rowwQ+3DMEN0BGM1xnjqYmzqE2kVBBC3zMw6SSgWi5idncX29nZby8oqGWFGtAkLwwFV0+p94fV6ceLECfP1ZbSBVlUVCwsLyOVyiEajZWfcODGRlPl+Fu29wS7Zxy9DN7N66gWyTCYjZOOOXsIwQ1Sh1tkxogUHQMwyM6uDgwNMTk7C5/O1vays3lhEIOKYSBxO3h/WNtAAytpAb25uolgsIh6Pt9wGWuYJtewrAxx/9zWyMhMKhTo4ouOHYYbIot7ZMS6Xy/w9UYhYZgY8/JC6e/duR8vKjhqLSJMtEUvfahHlutkl47jbfV8Eg0EEg0GMjo5C13Wk02kz3KysrABAWbjp6+tr6DqK9PqyS+axA/KHAdnHDzz8HoxOZtUwzLQfwwzRPzBWY4w312ofcCKvzIjyoWx8ME1PT2NnZwfPPfccBgcHuzIWUQ+pFG089XC8ndOp17CiKOjr60NfXx9Onz4NXddxcHAAVVWxs7ODpaUluN3uR9pAVxufKO89zZC9m5ns4++FMFMqleDz+Y78fYaZ9mOYoWOv8uyYo4KM8XuihRnjg0CUCcXh4SGAhyUtExMTHS0rqyRimBHhZ0Ri6uZ9qiiK2QZ6bGwMmqZhf38fqqri3r17uHnz5pFtoEV572lGL3Qzk3n8pVKp5qqGDOrt+zH2zFD7yH0HEbXI2ORvBJR6h2CKHma6Sdd1bGxsYG5uDgDwzDPPdDXIAGKGGUC88ZAYRAoFLpcL8Xgc8Xgc4+PjKJVK2NvbQzKZNNtAh0Ih9Pf3o1QqSXtPi3TNmyH7yobs4we4Z0YEDDN0LFnPjqlVVlZJtP0pwHthpptdYYxuZQ8ePMCzzz6LH/3oR0JMELoVZox9MdWugQjXxQ7Zxkvt4Xa7kUgkkEgkAJS3gU4mk8jn83jnnXfQ39+PRCKBWCwmxRN3lml1Vy90M6t3zgxXZtpP/HcaIofV2+Rfi4grM91efbB2K7OWlYlwnbp1beo97RUtEPciGUOYTKsE1jbQgUAAu7u7GB4ehqqquHnzJrLZbFkb6Gg0KuSkVfYyLYax7qsXyNLpNPr6+jo4ouOHYYaOlWpnx9ghajczoPPhwVpWdu7cOZw/f94ciygdu7od9KqRceIk0vUj8RiTueHhYQwPDwOo3gY6FouVtYEWYRIrU4CsRvYw1gthpt7KTDqdRiwW6+CIjh+GGToWjLNjisWirbKySqKuzHT6rBlrWVm1bmWilONZ20SLQpSgR+KRdWJdbdy12kCvrq5C13XE43EkEglbbaDbMXZZJ9PGgcCyjh+oHwRkwJWZ7mOYoZ7XSllZJesqiEhvwJ0MM0ZZmd/vP7JbmUgTdhEnh6Jcm0aIeP3qken6VpLxegO1x12tDXQqlTL329y+fRsul6uhNtBOk3nPhvGeL9JnkV2ifZY2o14DgGw2i2Aw2MERHT8MM9TTGjk7xg5Rw0wnVkIqy8ouXLhw5PXs9EpRLZ0ci67rWFlZwcrKCiKRiLlh2vpBJutkldpP1hBmd0VJURREIhFEIhGcPXsWmqbh4OAAyWTSbAPt8/nKwk27OiPKuhoGvHe/iPRZZJdon6XNqPc9cGWm/RhmqCfZOTvGjm7tT6mn3eVv9crKqo1HlIlZpyYqxWIR09PTUFUVjz32GLLZbNn5HMS3MO8AACAASURBVEY5DSDfpFW28cpMxol1q4HA5XIhFoshFouVtYFWVRUbGxuYn59HIBAwX0PxeLzmIYV2xy7rZNp6pICseiHMsDVz9zHMUM+xe3aMHaKGmXauPjRSVlZtPKJMgDsxloODA1y7dg3BYBATExPm5M6YmO3u7iKZTGJlZQWZTAYLCws4ceKEOTGTtcyFnCXKa8Yup1c3KttAF4tFsw30nTt3kEqlEA6HzVWbeDzedBtomTfQ90qZmczvf5qm1Q3EbM3cfgwz1DOsZ8cYH65Of0iJGmbasRKi6zrW19cxPz9ft6yskmhlZu2cJG5sbGB2dta8RgCQz+fN33e73RgYGMDAwAAA4Ac/+AEGBwdRKBQwPz+PfD6PWCxmPnUWpcuT7GSdoMo47naXank8HgwODporwvl83nxAsLi4iGw2i0gkYoabWCzW8ARZ5jIzI4jJOn5A/pUZ43OODQC6i2GGekLlJv92vsGL2tHMyTEVi0XMzMxgZ2cHV65cMSfijRKtzKwdYymVSpifn8fW1haeffZZnDhxAkD9p+uKoiAej2NwcBC6rpstbJPJJFZXVwGgrMtTKBTq6mRF5omSbER5zdjV6VItn8+HoaEhDA0NAXi4wdrolDY3N4dCoWCecZNIJGo+IJC9zEzWsRtk/x6sjYWqMTr5Mcy0F8MMSa/Vs2PscrvdwoUZJwOWUTIVCATw6quvwu/32/43er3MLJ1OY3JyEoqiYGJiwlanGuv9qSgKQqEQQqEQTp06BV3XcXBwAFVVsb29jVu3bsHr9ZqTsv7+/qZ+HseNKPdeM2QMj91e3QgEAhgZGcHIyEjZAwJVVbG+vg5N0xCPx82Vm3A4XNa2XcZrDnT/urfKqKaQOcwY90+9MjN2M2svhhmSllNnx9gl4sqMEysh1rKy8fFxnD9/vunr2ctlZvfv38f169cxOjqKS5cu2f4grjUeRVEQjUYRjUYxNjZWthF6bW0Ns7Oz6OvrM8NNK3sF7JA5HMhE1uss0qS62gOCw8NDc/VzeXkZiqKYwcZoEiOjXggCgNx7fupt/gcehhmuzLQXwwxJycmzY+wSaaJuaHVMrZaVVRKtzMyJn5emaVhcXMTq6iqeeuopjIyMNP1vNXptrBuhz58/j0KhYD5xNvYKWMtpotGo1BOD406kUGCHKK/1ahRFQTgcRjgcxpkzZ8w20Mbq5/7+PtLpNHZ3d83Vz3a1gXZar4QZ2RsA1PoZaJrGMNMBDDMkHafPjrGr11Zm9vf3MTk52VJZWSXRysxalcvlMDU1hVwuh6tXryIcDndlPF6vt2yvgLWc5saNG2XlNIlEwpFT1WWcXMtMxustUwiztoE+d+4c3n33XfPhzebmptkG2nrGjVNtoJ3WK2FGlnunmkbaMgNgmGkzhhmShvXsGGPTZjfeBEUNM3bH5GRZWSWRVq9aHUsymcTU1BQSiQSuXLniSFmXU0EvGAwiGAxidHTULKdJJpNQVRW3b9+Gx+MxJ2SJREKaJ85OkHGCJMoDALtkCjPVRCIRs4GHtQ30ysoKZmZmzNJOow201+vt8ogfkrl5AdDYfhPRGXt1j5LJZACArZnbjGGGpKBpGorFYlfKyir1Qphxuqys2nhEmZg1e5/ouo47d+7g1q1beOKJJ3DmzBlH7rl2rVpZy2mMU9WN/TZ3797FwsICgsFg2X6bRidlovwsjwMZQ4HMYaZy7JVtoK2lnUtLS0in04hEImZJmp020E6TuXkBUD8IyKDeOTnpdBoul+tYPUjqBoYZElonzo6xS8QwY2f1wSgrCwaDjpWVtTKedmsmPBQKBdy4cQP7+/t46aWXEIvFHB1PJ7hcLvNpMvDeE+dkMonbt2/j8PBQmEkZPSRraJQ5zNQLBJWlnblcrqwNtHFOlPFa6+S+tV4oM5N5/ED9QJZOp7veXv84YJghYVnLyoD2nh1jh6itmetNhHRdx9raGhYWFhwvK6sk2p4ZO2Mxwl4oFMLExERD9fL5PLCwoMDnAy5cqP+1unFtKp8453I5syRtdnYWxWLRPLwzkUiUta+VjSj3XjNkvOYyhxm7Y/f7/Th58iROnjx5ZBtoa7iJRCJtuzayhwHZxw80tjITDAalfX3IgmGGhKRpGlRVhc/ng8fjEeoNT8SVmXpjKhaLmJ6ehqqqbSkrqzYeUSaUdsLM+vo65ubm8Nhjj+Gxxx5r6APo//wfF373d93Y3AQUBbh0Sce/+BdFPPNM9Z+HEx9q6TQwOenG/fsKYjEdzz1XQjxu79/w+/1lZ3Ok02mzfe2dO3fMlR1FUVAqlaSesMpClNeMXTLfG61MqGu1gTb23AAoaybg5FP6XtgzI/tqcCMNAHjGTPsxzJBQrGfHvPPOO7hy5QridmdpbSZimKlV1mUtK5uYmOjIoYuyrcyUSiXMzs5ie3sbzz33nLl6Uc/bbyv4zd90I5MBEglA04DJSRd+7deC+N//O42TJ6v/vVauzb17Cv7jf/RiYcEFTXs4KTpzRsOnP53H44839+8qioK+vj709fXh9OnTZvvaZDKJra0tZDIZvP3222WHd4ra4Ul2soYCWcftZBCr1gY6lUqVHYJrbcrR39/f0kRX9j0zvbAy00gDACe6SlJtDDMkjGpnx4gWGgCx9oMYqq2EdLKsrJJI16hemDk8PMTk5CTcbjcmJiZsbdT8X//LjcNDBadP6zAurd+v4+5dBd/8pgf/7J89eiBfK0FP14GvftWD6Wk3Ll7U4PfrKBaBxUUFX/mKD//23+bgxBma1va1fr8fW1tbGBsbQzKZNDs8hcNhM9jE43Hpn7CKQNYVDpkn1e1c3XC5XGWH4FZryuH3+8vCjZ2HTbKHAdnHDzReZkbtxTBDQtA0Dfl8vuzsGBH3pgBihqzK8NDpsrJq4xFpZeaon9e9e/dw48YNnD59GhcvXrT9wXrzpgK//70gAwBu98PQsbpa/d9qZdK3s6Pg+nU3Rkd1GHMejwcYG9OxvKzg1i0XLl1y/t5UFAUDAwPmfZTP582StIWFBeRyOXOfQCKRQCQS6fokRcbJtSivGbtkDWFAZ8derSmHEW7W1tYwOztrqw207GGgF7qZNdoAgNqLYYa6yigrM7qVWVsuixgaADHHZV2Z6UZZWa3xdFu1iYqmabh58ybW19fx1FNP4eRR9WB1jI3pWFx0AXjve9W0h3tnRkeP/v6bvTa5HFAoAOFw+d/3+YBi8eHvO63a9fP5fBgeHsbw8HDZJuhkMom1tTXoul5WksZuPo2T9TrJOu5urip5PJ6yhwSFQsE848bacdAabqyrADKHSED+MAY8/B5qldxmMhmGmQ5gmKGuqVZWZn1jdrlc5u+JRMQVI5fLhXw+j9XVVSwsLNjawN4OopWZWceSzWYxNTWFQqGAq1evtnQy8yc+UcLf/Z2Ce/fe2zOzva0gkdDwkY8UjhxPs4aHdZw+reH2bRcikfdWhLa2FAwM6Bgba881rxW+qm2CTqVSSCaT5j4Br9dbdnhnuwO2KEHaLpnHLeukWqRN9F6vFydOnDAP8LS2gTZWQKPRqPlakn1loxfCTL2fweHhIcNMBzDMUMc1enaMiKEBEDNk6bqOnZ0dbG9v4/nnn0cikejqeEQrMzPs7OxgamoKg4ODeOGFF1re5/HhD+v4/OdL+L3fc2N7W4HLBZw7p+Nf/ssczp7VATx6X7dybTwe4KMfLeIP/sCH+XkF0SiQSj389Y99rGi7o1k7KIqCSCSCSCSCsbExlEols5TG6BZnlNIYh3d6nNjo0yNkDAWyhhld14Ueu7UNNICyNtCbm5soFArw+XwIBAJtbwPdDr0QZurtmeHKTGfwE4Q6ys7ZMSKGBuDhuAqF6k/du2F/fx/r6+twuVxdKyurJFqZWalUwtLSEm7fvo1Lly7h9OnTjn3of/KTGn76pzVMTj48Z+bKFQ2KUkKtb7+Va/PyyxpCoTy+/W03bt924eJFDR/8oIZXXhHvtQI8fCiRyw3g2rUhzMy44POVcOnSLoLBu1hcXEQ2mzWfNicSiY4eOigaUV4zdokcCGoxrrcsYw8GgwgGgxgdHYWu65iZmUGhUMD+/r7ZBjoej5srN6J30ToOrZkZZjqDYYY6xliNKZVKUBSl7oRF5JUZEcZl7VbW398Pt9stRJAB3gsQItB13TzM7qWXXkIsFnP8a8RiwAc/qP/D13u4r+UoTkwu3v9+De9/f/fvwUZsbSn4L//Fi9VVBYmEjt1dN5aXB3H1aj8++ckiisWseXjnjRs3oGmaOSFLJBLCT8icJuP3KnuYkTE8G01yQqEQHnvsMei6joODA6iqip2dHSwtLcHtdj/SBlqkn1MvrMw0UmbWSikzNYZhhtrOenaMtVtZPaKEhkoijKtQKGBmZgaqquL555/H/v4+kslkV8dkJcrKzN7eHnZ2dhAKhTAxMVGzM1AniXBtGtXq5Oftt91YXXXhySdLMD7zUykdP/yhG6+8ouHy5QBGR0fNp82Hh4dmuFleXobL5TIbCSQSCVuts2Uj031hJWuYMd7HZRw7UB4GFEV5pA30/v4+VFXFvXv3cPPmTfh8PvO1ZLcNdLvHL6tGysy6XfZ9HDDMUFvV2+Rfi6hlZt3e3L63t4epqamybmWpVEqoiVC398xYV636+vowPDwsTJDp9rVpRivjnZ93IR7XYJ2zhMNAPg+sryu4fPm9X7ceOnj27FlzQpZMJs1zOQKBQNmErNrPVdbJNSDnxFrW6y1bmVmlWmHA5XIhHo8jHo9jfHy8bO+a0QY6FAqVrdx0+j2yVCoJ877crEYOzWSZWfsxzFDbVDs7xg6WmZWzTtAru5WJsFpk1c3AVywWMTMzg52dHTz//PNYX18XarIi0lg6oa9Px9271dtX13swbJ2QAQ9/tru7u0gmk1heXsb09DQikYgZbmKxmNQ1+LKFXIPs45Z1dcBOJza3241EIoFEIoHz58+XtYE2XkvhcLisDXS7G3Mcl5UZlpm1H8MMOa7W2TF2iDZBN3QjZBUKBUxPT2N3d7dqtzLRrlW3ysxSqRQmJyfh9XoxMTGBQCCAjY0Noa4NIO/krxnPP69hdtaFvb2He4s0DVhdVTAwANsHfHo8HgwODmJwcBDAe61rk8kk5ubmUCgUEIvFzPcbGVcMZBsvIOd1BnqjzKzZsVe2gTYOwlVV9ZHGHP39/YhGo44/KDgODQDYmrkzGGbIUa2UlVV62AWpDacAtqjTwWFvbw+Tk5Po6+vDq6++WvWArm6XvlXqRinV3bt3MT09jbNnz+Lxxx8vqyXvhqMmeLJNnFod74svlrC6quAHP3BjfV0BoGNwEPiZnylgaKi1e8TaulbXdaTTabMFdCaTwd/93d+VHd4p2gboSrKGXJHOarFD1hBmcHJlw3oQLvBwRcFYBd3c3ESxWEQsFjPDTSQSaflr98LKDMvMxMAwQ44xVmOaLSurJNpqg6FT49J1Haurq7h582bdQzBF2XBv6GS40jQNCwsL2NjYwDPPPIOhoaGujaVRIv2sGtHKeH0+4M03i3jxxRLW113w+YCLFzUMDjp7DRRFQV9fH/r6+lAsFpFKpXDmzJmyDdB+v78s3NQ6ubvTZN6/Idv9bJA1hBnaGQaMNtAjIyNlDwpUVcXq6ip0XW+566DsYcY4M4+tmbuPYYZaVnl2jBNBxvh3RJuEAp0ZV72yskqiTdg7tTKTyWQwOTkJXdcxMTFR9UNDtMmhaOPpBJcLuHBBx4ULnWvooSgKYrEYYrEYzp07h1KpZO4RWFlZwczMjLlHwDi8U4SSFxnvD1lXOFop0xJBp8KA9UHB6dOnoes6UqmUGW6MroN220DXW9UQnfGZe9T3YIRA7plpP4YZaolxdky9F3Uz3G63kN3M2h1mGikrqzYmkZ6OdmI829vbuH79OoaHh3H58uUjJ6LHNegdd5UTKbfbjYGBAQwMDAAo3yOwsLCAXC5nltEkEglHymjskPmekDXMyDpuQ7fGrygKIpEIIpGI2XXw4OAAyWQS9+7dw+LiIrxeb1m4qdZSXfaVGeNzpdZDEIaZzmCYoaYYy6tOlpVVOm4rM9aysvPnz2N8fNxWG2uRrlU7A4Su67h16xbu3LmD973vfTh16lTdsYg2URRtPLXIONlr5PpW2yNgnG+ztrYGXdfNiVgikUAoFOrItZD1ess6btkn0yKM3+VymauglW2gNzY2MD8/j0AgULYK6vP5hBl/s6x7g4+SyWQQDAY7NaRji2GGbHNyk38top4z047gYLesrNJxWX3I5/OYmppCJpPBK6+8gkgk0tBYRLs2JJ5gMIhTp07h1KlTZhlNMpnEgwcPsLS0BI/HU3Z4p9MHDsoUcKuR8b5mmVl7WNtAA++1VFdVFXfu3EEqlUI4HEY2m8XBwUFH2kC3g1EmV+seymQyCIfDHRzV8STf3UNdZazGNPIibtVxOWemmbKyamMSaTLUjvHs7u5icnISsVgMExMTDX/4iRZmAPkmrrKNt1XWMpqxsTGUSiXz8M6NjQ3Mzc0hFAqVHd7p1GRMxsk1V2a6Q9QwU6mypXo+n8fu7i5mZ2exubmJO3fuIBKJmK8lWc6Lqrf5v1QqIZvNsgFABzDMUEOMs2OKxWLbysoqiVY6ZXBqXK2UlbVrTE5xcmXGep0ef/xxjI2N2bpOok2yRBsP1ed2u82JFgDzwMFkMomlpSVkMplHDu+0O8mUOTDKHGZkHLdB1jDm8/kwNDSEhYUFPP300/B6veb+tbm5OeTz+a7uX2tUvQYG6XQaALhnpgMYZqiuTpWVVRK9zKyVD0JrWdkLL7xgTpKaJdrqg1PjKRaLmJ6ehqqqTV+nTl+beveEaD+remSe7LVL5YGD2WzWPLzTOJMjHo+b4SYcDjd8HWW73rquSxsKeqHMTPbxu1wuBAIBjIyMmG2gM5mMGW7W19ehaZrZBtru66nd46/XlhkAV2Y6gGGGanL67Bg7RC4zA5p/qudEWVm1MYn0ZNeJ8RwcHGBychKBQAATExNN71HoVrefWkT6WVHrKidjh4eHZrixtq21Ht5ZSfZ7QoTJpV2yhjCDLGVmR6k2fkVREAqFEAqFzP1rxuvJaAOtKEpZp7RONeeoVG9l5vDwEG632/H9dfQohhmqql1nx9ghWumUwXjzsvtBous6VlZWsLi42HJZWbUxifSEtNUys83NTczMzODcuXO4cOFCS9+TaCshIvx87HJqon39ugt/8zdurK25cOqUhg99qIRnn9Xg9CXp5utAURSEw2GEw2GcOXMGmqaZ+23u3r2LhYUFBAKBsv02Xq+37O/LRObDPmUOA+04DqGTjOqGeuOv9no6ODiAqqrY3t7GrVu34PF4HjnjphNKpVJDB2bK+NqQDcMMPaLy7BhFUbryYhS5zAyArQmyUVa2t7fnSFlZrTGJsHGy2QBRKpUwPz+Pra0tPPvss2YZT6tjEY3sT+Gb8dZbbvzn/+xFKgVEIsDyshs/+pEbn/pUAT/2Y+K9zp3icrkQj8cRj8cBlHd2Wl5exvT0NCKRCGKxGID6EyTRyBxmRHn40wzjusscZgD747e2gTYOw93f34eqqmUPC6zhxonqh2rqheF0Ot3Q4aHUOoYZMnXi7Bg7jDIz0T5w7IYZo6wsHA5jYmKiLW+sxvURZZLcTJlZOp3G5OQkFEXBxMSEY0/XRDtnRrTxdEIuB3ztax7k88Dly+9978vLCr7+dQ9eeaWE43IUQ2Vnp1wuB1VV8eDBAwDA9773PXN/gLH5WaT3v0oMM91hfdgoo0YOnGxEZXOOYrGIvb09JJNJrKysYGZmBn19feaficfjZSuhrWh0ZYbaj2GGAHRvk38tre5NaRdjpapemLGWlV24cAHnzp1r2/fRzGpRO9ldmbl//z5u3LiBkZERXLp0ydGnjaKFB5Hu5UY4Md71dQVbWwpGRsp/DiMjOjY2FKyuuvDEE2Lcu53m9/tx8uRJ9Pf34/79+3jxxRfNlZvV1VUAKDu8U7QnvbKHmeO2siGKdoUxj8eDgYEBDAwMAHhYFWHst1laWkI6nTbbQCcSiZbaQNerhDg8PGSZWYcwzFBHz46xw3iTqLfJrhvq7ecpFAq4ceMG9vf321JWVsn4mYkSZhpdmdF1HYuLi1hZWcGTTz6J0dFRx8fSjTDDBgDlvF7A7QYKhfJfLxQe/rrXe7yuRzXGPdHX14dwOIzTp09D0zTz8M779+9jcXERPp+v7PDOdpXQ2B23KJ8bdsjcDawXVmY6Md/wer0YGhrC0NAQgPdWQqu1ge7v70c0Gm14vlFvbpLJZDq2f+e4Y5g5xnRdRzabNes6RQoygHirDVa1wszu7i6mpqbaWlZWSbQys0YCRC6Xw9TUFHK5HK5evdq2U5K70QCg1vcu0musUa3eV2fO6HjiCQ0//KELfX06PB6gWATW1hQ8/bSGc+fEuG9FYL0/XC4XotEootGouT/AumozOzuLcDhc9pS50yepyxxmRFv1t8NYVZJ1/N16SGmshJ48ebJqG+hSqVTWBrpWmWe9lZl0Os0zZjqEYeaYMsrKtre3sbi4iFdffVW4N0VjPKI2AaicIHeyrKySoihCdX+rFyCSySSmpqbQ39+PK1eutHUCJtp9DYgTOjtFUYBf+IUCVNWHmzddAHQACsbGNPziLxbQjjmNiD/3Whq5J9xud1kJjXGSejKZxMLCAnK5XMcPG5T5Xpa9m5ls97iVCNe+XhvolZUVACg7M8paNlZvz4zxoJjaj2HmGLKeHePxeIR9U1QUReizZqzj6nRZWTUitSA+amVG13XcuXMHt27dwsWLF3H27Nm233siXRdAvD089Tj18zl3Tse/+lc5/PCHbjx4oGBgQMfzz5fwD02+HCXT9bWye62Nk9SNEppMJoNkMll22KB1v0076veN1Q0RP0PqkXllRoQw0AoRx1/ZBlrXdbMN9IMHDx5pA53L5RCJRI7899LpNBsAdAjDzDFiPTvGWKJ2u91CrnwYRFptsLKOa3d3F5OTk4hEIh0rKztqTKJM4qo1b7C2p37xxRfNVrXtJtpkRbTxdFI0Crz+urjvN93kxGs3GAzi1KlT5lNmY7/Nzs4OlpaW4PF4yvbbOHGYn8yBQPaxixYG7BDlGIFaFEUxyzzHxsagaRr29vbMNtB7e3vY3d1FNps1A471NcVuZp3DMHNMaJqGYrH4SLcy0cOMqOMzzsC5c+dOV8rKjhqTKMHPuodHURTs7+9jcnISoVCo44FPtJUZQL6VA9nGKysn3z8URUEkEkEkEimbiCWTSWxsbGBubg6hUKjs8M5myj1lvjdEXB1olKgVFY2S8dq7XK6yNtCTk5MIBoNwu91YW1vD7Ows/uAP/gDRaBQf+tCHsLe3xz0zHcIw0+OsZ8dUKwcQNSwYRJqgWymKgqWlJeTz+a6VlVUbkyjXytpdbXNzE3NzcxgfH8f58+c7/gEs2ge+aOMhMbQ7FFROxAqFgrnfZmlpCZlMBpFIxAw3sVisocmm7Ksbso5dxjBgJWKXUrt0XUc0GsXIyAgAmPuQv/Wtb+FLX/oS1tbWcOLECcRiMbz++ut47bXXGmp088UvfhFf+9rXMD8/j2AwiImJCXzpS1/CE088UfPv/emf/im+8IUvYGlpCefPn8fv/M7v4I033nDkexUdw0wPqzw7plpds1GaJOobo4hhZnd3F6lUCn19fV0tK6skYpnZzMwMHjx4gOeee848JLDTRNujItp4epWMk9ROjtnr9eLEiRM4ceIEACCbzUJVVSSTSWxubqJYLJZtfA6Hw1XHJ3MgkLlUS9TP7EbJPn7g0UDm9Xrx5ptv4s033wQA/PIv/7K5j+1XfuVXsLa2hpdffhkf/vCH8frrr+PVV1+tuhr63e9+F5/+9Kfx4osvolgs4vOf/zx+8id/ErOzs0eu9Lz99tt488038du//dt444038PWvfx0f//jH8dZbb+Hll19uzwUQCMNMj2r07BijZlXUNxaRVo6sm9cDgQDOnj0rTJABxAp+mUwGwMNDw1599VUEAoGujYXnzLRG1omqbLodCgKBAEZGRjAyMlLW1SmZTGJ5edlc2THCjdGlqdvjboXsYxfxM7tRos457Ki376dYLOKll17C5z//eQDA8vIyvv3tb+Pb3/42/vAP/xBzc3NVw8yf//mfl/3vr3zlKxgaGsKPfvQjfOADH6j6tb785S/jJ37iJ/C5z30OAPC5z30O3/3ud/HlL38Zf/zHf9zstygNhpkeo+s6SqUSisViQ4dSWQ+m7PT5BI0QZYKez+cxPT2N/f19vPjii1haWhJuQirKtbp37x5u3LgBAHj22We7GmQA8VZCZJ08yUSkn3ejKsdc0kqY25nDXm4PZ6NncSZ6pmNjqezqpGka9vf3zY3PCwsLCAQC6O/v7/rruxUy7zuReexAb4SZeqVyld3MxsfH8alPfQqf+tSnbH2dvb09AEAikTjyz7z99tv49V//9bJf+6mf+il8+ctftvW1ZCXe7JWaVllW1siBWkbpmSirH5VEmKBX61YmwrgqdXvSrmkabt68ifX1dTz55JOYmpoS4sNWpL1EBtkm27KNV1bG62X9YB2/+87vYvbBLLLFLKL+KF4fex3//Ll/joCn8+HB5XIhHo8jHo9jfHwcxWLRPLzz7t27KBQKePfdd8sO7xS9UxUg98qM7GFAhm5m9TRyzkyr3cx0Xcdv/MZv4LXXXsNTTz115J/b2trC8PBw2a8NDw9ja2urpa8vC4aZHqFpGvL5fEOrMVaiHbZYqZtlZtaysspuZSJes26OKZvNYmpqCoVCAVevXkVfXx+uX78uxCRYtMlKt0Mntd92ehu72V0M9w0j6o829HeMe6KoFfEffvAfcO3eNZyJnEHIG4KaVfFnN/8M/f5+/NLTv9TGkTfG4/FgcHDQ/G92dhZnzpyBqqqYm5tDoVB45PBOc2jofAAAIABJREFU0V6HgNyBQOaxA/KPH6gfyJxozfyrv/qruH79Ot566626f7byNSZzWLeLYUZyRlmZ0a3MTpAxiLQvpVK3Juj5fB43btzAwcFB1TNRRAwz3VqB2NnZwdTUFAYHB/HCCy+Yb+6irIh0Yxy1XoOyfbjINt5u2svt4b9N/Te8tf6WuaLykfMfwc+/7+fhcdX/uFUUBTe2b2BuZw5j0TGEvA8nQgPBAeSKOfzF8l/g45c/bv66KFwuF06ePImTJ09C1/WywztXV1cBoOzwzmAwKMR9JfNkT/YwIPv4gfplZplMpqXWzJ/5zGfwzW9+E3/7t3+L06dP1/yzJ0+efGQV5v79+4+s1vQqhhmJHXV2jF2ih5lOj80oK4tGo0d2KxMxzHS6m5mu67h9+zZu376NS5cu4fTp02X3nyjd1boxWdnZ2UE2m0Uikah6/4hwXeyQbbzdoOs6fu+Hv4e/vvPXOBE6gaHQENSsiv9x43/A6/LiE+/7RN2/DwDJTBL5Yh5BT7Ds9/t8fUjlU0jlU0KFmcpAoCgKQqEQQqEQTp8+bZ6inkwmsb29jcXFRfh8vrLDO7vVSEXmTfQyjx2QP8xomgZd149cmdF1vekyM13X8ZnPfAZf//rX8Z3vfAfj4+N1/87Vq1fxrW99q2zfzF/+5V9iYmLC9teXEcOMhOqdHWOXyGHG7XZ3LDRYy8oef/xxjI2NHXldRQ0znRpToVDA9evXkUql8NJLLyEWiz3yZ0Qpp+rkODRNw+LiItbW1uD3+zE7O2ue3WHsJZD1SbBsOn2dl3aX8M7mOxgJjyAeeLiSG/QGsX6wjv976//ipx//6bohRFEUnIqcQsgbwn5+HzH/e6+r3ewuRiOj5r8tinqrG9ZT1M+dO4dSqWQe3mkcNNjX12eGm3g83rFmNLKvzMg6dkDcpkONMj5r6+2ZaWZl5tOf/jT+6I/+CN/4xjcQiUTMFZdYLGZ2EfzFX/xFnDp1Cl/84hcBAJ/97GfxgQ98AF/60pfw0Y9+FN/4xjfwV3/1Vw2Vp/UCee+kY0rXdRSLRRSLRQDVz46xS8SJuaFTKzP1ysq6NS47OlVOtbe3h8nJSYTDYUxMTMDr9XZ1PPV0Kszk83lMTk4in8/jpZdegs/nQ7FYRDKZRDKZxMzMDIrFIkKhEIrFonlWkcwTEnrPvcN7SBVSOBU5VfbrMX8Mu9ldJLPJmmHGuEefSDyBV069gr++89fIFrPmnpmSXsIbF9+Azy1OO3jAfiBwu91muAcePhgxWkAvLi4im80iGo2a4SYajbbtCb7MgaAXVjZkHz+AumVmzazM/P7v/z4A4EMf+lDZr3/lK1/BL/3SLwEAVldXy772xMQEvvrVr+K3fuu38IUvfAHnz5/Hn/zJnxyLM2YAhhmpWM+OMTbuO0HklRmXy2UGt3ZRVRVTU1OIRqN49dVXj5ycV46rUCi0dVx2tbusS9d1rK2tYWFhAefPn8f4+HjNiYBIZWbtHsfe3h6uXbuGeDyOK1euAHg4SfP5fGV7CQ4PD7GysoKdnR388Ic/hMfjMSd23Sy36TXduO8GggMIeUI4yB+Ubfo/yB8g7Asj7q/9gMS6yv7rL/46+v39+O7ad7GX28NQaAg/+8TP4h9f+Mft/jZsa3V1w+v1YmhoCENDQwAeTgCNcLO+vg5N08oO73TyAYDMpVq9EAZk7mbWyDys2ZWZRt6/vvOd7zzyax/72MfwsY99zPbX6wUMMxKwe3aMXSKHGbfbjXw+35Z/205ZWSURV7PaOaZisYjZ2Vk8ePAAV65cwcDAQN2/c1xWZtbW1jA/P1/W8a5aADfO7jhx4gQymQyuXLnySLlNOBwuK0kT4cNe1ifXnfZE4gk8O/wsvrf+PWi6hj5vH9Sciv3cPt54/A2EfeGG/62oP4pfe/HX8Mn3fxIH+QMMhYa60pK5EU6XagWDQQSDQYyOjkLXdaRSKaiqip2dHSwtLcHj8ZQd3tnKOTcyr8zIHMQA+cNYvc3/xWIR+Xy+5W5m1BiGGcE1c3aMXSKWTBnaNTa7ZWXVxiXCRN2qXeEhlUphcnISXq8XExMTDU8een3PTKlUwtzcHO7fv99wwDMYExGjw9P58+eRz+fNJ9LW9rYDAwPo7+9HOBzu2sRLhJ+j6IwVFY/Lg/937//hQeYBIr4I/smlf4Kff9/P1/371UJBf6Af/YH+dg3ZEe3cd6IoCiKRCCKRCM6ePQtN07C3twdVVbGxsYH5+XkEg0Ez3MTj8YZW1jsx9naTfWVD9jBT7/qn02kAaKmbGTWOYUZgzZ4dY1cnN9nb1Y7Q0ExZWSfG1ap2lHVtbW3hxo0bOHv2LB5//HFbHz4ilZk5/bPKZDK4du0aFEWxFfCM8VTj8/kwPDyM4eFhsxOOsd9meXkZbrfbnLQlEgn4/X6nvh1yyGBoEP/6tX+NO3t3oGZVnIqcwnBf461RZZxYG4FA13VsHW5BzapIBBI4GT7p+NeyPgB47LHHUCgUzMM7l5aWkMlkEIlEyg7vrPWeJfPqhuxhoN7KhugaacsMMMx0CsOMgJw4O8YO0cvMnJqItlJWVknUMOPUmDRNw8LCAjY2NvD000831atepJUZJ+3s7GBychInT57E5cuXm/pArnddFEVBX18f+vr6cObMmUeeSM/NzZkdoIwn0u16SivjBBvo3rgVRcF4fBzjqN9O1UqE10ozdF1HupjGf7/+3/GjrR/hMH+IsC+MF0ZewMcvfxx93vZN5rxeL06cOIETJ04AeHh4r6qqUFXVbLhh3W9Tubopc5mZ7GGmF8Zfb2XG4/FwH2SHMMwIphNlZZVEDjNOlZkZZWWpVKqpsrJq4xItzCiK4si1ymazmJycRKlUwsTERNM1v6LtmWm1pETXdSwvL2NpaQmXL1+ue4hZrfHYVe2JtFGStrCwgFwuh3g8jv7+fgwMDHS1JI2aJ+PPTNd1fHv725gvzmM0PIqTfSexl9vDt+58C16XF7/w1C90bCyBQAAjIyMYGRkpW91UVRXLy8tlr6NEIiF1mZnMq0qA/GGmVCrVDTNGG2VqP4YZgRirMe0uK6sk8p4ZJ1ZmrGVltVoJ2yFimHGirOvBgweYmprC8PAwLl++3NLT/l5amSkWi7hx4wb29vaOPFfHznhavS7WDlDWE9eTySRWVlbMSZuxctPKJmlA3lUDJ91Sb+GWegv9gX48f/J5eFzOfnzKeo0fZB5gbn8OI0MjSAQftlseCA5A0zX8/ebf4x+d/0cYCDa+n8wp1VY3jcM7t7a2cPPmTQDA+vq6uYIj01N0mVeVgN4IM410MpP5ZyQThhmBlEqljpSVVWpnx7BWtRIarE/SWy0rc3Jc7dLqtVpaWsLy8nJLqw6V4xFhgmb8zJt9CptKpXDt2jUEAgFMTEw4MuFx8rpUnrhuTNp2dnZw9+5dLCwsIBgMlpWkyXxYXSOcfOKeLWbx77//7/EXy3+BVD4Fn9uHC/0X8Dsf/B1cTFx05GsYZJz47Of3kS1lEfFFyn494otg42ADe7m9roSZSi6XC7FYDLFYDOPj4ygWi/j+978Pl8uFO3fuIJVKmfttjMM7Rd5gL3sY6IUGBlyZEUdvf6JJxsmzY+wQucys2bFZy8pafZJejYhhptmyrnw+j+vXryOdTuPll19GNBqt/5faOB6nWcOMXUYDhLGxMTz++OMNTzbrnYjeTtZJG/BwVanyUMJYLGaGm0gkIuUkulP+69R/xddufg1xfxznYueQK+Uw+2AWv/k3v4mvfvSr8HucacQgQvBvRswXQ5+nD7vZ3bJmB7vZXUT9USQCiS6O7mgejweKouDs2bOIRqPI5/NmSdr8/Dzy+bzQr5NeCDMyj7+RlZlgMCjUPdPLGGYE0q0JsshhpplrYpSVxWIxx8rKnBhXuzWzErK7u4vJyUnEYjFcvXrV0Wsl4spMozRNw+LiItbW1ppugFBLJ6+Lx+Mp2yRtLUlbXV0FgLKStMqnicf5wzhXzOEbi99A0BNEPPBwn13AE8BoZBS3d2/j+xvfx4+N/ZhjX0/Gax3zxvBs/7O4lrkGTdcQ9Uexl9vDbnYXP3PxZ8zrJiLrvpPKA26N14mqqmWvE+O10u2JKvfMdFe9lZlMJsMzZjqIYYaEnJgb7IytnWVlrYyrU+xeq9XVVdy8ebPssEcnibZnptFrk8/nMTk5iXw+j1deeQXhcOOHHTY6nm5el2AwiFOnTuHUqVPQdR37+/tl+wgCgYAZbPr7xT7jpN1ShRRS+RSCnvKA53P5UNJLeJB54NjXEuG10gxd1/H6yOsY943je+vfw3Z6G2FfGD/3xM/hIxc+0u3h1XTUvpPK0k1d1839Ntvb27h16xa8Xm/Z4Z2dbpUu854ZXdelDzP1GgAcHh6yLXMHMcyQ0CszjY7NKJU6PDxsS1lZJRHDTKNlXcViEdPT01BVFS+88ELbJqyilZk1Ym9vD9euXUM8HseVK1ea3lvSzTIzOxRFeWQfwe7uLpLJpHluRygUQrFYxN7eHiKRiDQTECeuc9wfx3DfMO7s3UHU/175ZbqQht/tx3jMXvvlekS6Nxql6zr8bj9+7tLP4SfGfwJ7uT3EA/FH9tCIqNG9VYqiIBqNIhqN4ty5cyiVStjb20MymcTa2hpmZ2fNVunGfpt270uTOQwYnwuyjh+of/0zmQz3zHQQwwwJHWYaCQ2qqmJychLxeLxtZWXNjKvTGinrMjaz+/1+TExMtPVpomhlZvV+Xmtra5ifn2/bSpVVN6/L5qaC73/fjeVlBYODOl5+WcPlyxoU5WFJ2uDgIAYHBwE8bNO9sbGB1dVVXL9+HZqmPVKSJuMEvFFulxuffOqT+Hff+3fYPNhEzB9DtpTFfm4fr515DVdOXnHsa4nwWmmGNRBE/dGy0Ccyo117MxNqt9ttvgYAmK3SVVU196VFo1Ez3ESjUccn7r0QZmRuAFAqlWo2g0mn0ywz6yCGGYF0a1IgcmtmY0Jc7Y3bWlZ28eJFnD17tqPtrEUMM7XGtLm5iZmZGdub2ZvV7XIq6zhqKZVKmJubw/3793HlyhUMDDjTeemor9vNyf+tWwr+03/yYW3NhVBIRzYLvPUW8E//aQGvv/7oe0AgEMDQ0BA2Nzfx2muvmaU29+/fx+LiIvx+f1lJWiceJDTCyfvuZy/+LAqlAv5w+g+xnd6Gz+3Dxy59DJ994bNwKc5NJmU+80TGcRv3iBNjt7ZKBx4+lTeabqyvr0PTtLLDO51o2Svznhnjc0rG+8ZQrwFAJpNhmVkHMcyQI2e5tIvx5KYyzHS6rKySERxEmoAcVdalaRrm5uawtbWFZ555xvzA7dZ4Oq3Wykwmk8G1a9egKAquXr3akbKAboU8XQe++U0P1tcVPPlkCcbLaXVVwZ/9mQdXrpRQ6yzZaqU2Rkna8vIypqenzafRiUSiLU+jO2Evt4e/XP5L3N69jUQggZ967Kfwifd9Am9cfAN3D+8i6oua56mQvCHMeA224x4NBoMIBoMYHR2FrutIpVJQVRU7OztYWlqCx+Mp22/TzDlQMu+ZMcYu4/uDoV4DgMPDQ67MdBDDDAlfZgaUT0S7UVZ21LhE+iCvVtaVTqcxOTkJALh69WpH31xFKTMDqj8B3NnZweTkJE6ePInLly939IO1G9dFVYGbN10YGdFh/VZPndKxsODC0pILzz9fPXxWG6/b7cbAwIC5kpXL5cwuaTdu3DBL0oxJWygUEua1cpSVvRV89q8+i1vqLfN7/p/T/xP/5v/7N3h97HWci51r29cW6b3EDpnHDbR/dUBRFEQiEUQiEZw9exaapmFvbw+qqmJjYwPz8/MIBoPm6yQejzf0mSZ7mZmsYzc0sjITiYi/b6xXMMyQFGHGOFC0W2VlR41LpDflyjKz7e1tXL9+vSuTdUCcMjOgfJXIeh85dUCo3bF0g8sFKMrDFRorTXv4663eHn6/HyMjIxgZGTGfRieTSTx48ABLS0vwer1lJWkinrb+5Xe/jJvJmzgdOQ2vywtd17GeWscX3/4iXhx5se2b2mUNBTKOu1ulTi6Xywz5jz32mHkOlKqqWFpaQjqdRjQaNcNNLBar+t4t0mePXfWCgAwaac3cqSoIYpgRSjcn5qKVTBmMpehsNouZmZmulZVVqrZi1G3GhF3XdSwuLmJlZQVPPvkkRkdHuzoeERj3dbFYxI0bN7C3t9fV+6gbIS8eB556SsN3vuNGPK7D43kYbFZXH67WXLzo3M/K+jR6bGzMLElTVRUrKyuYmZlBJBIxw81RE7ZWx2DHTmYHP9j8AeL+OLwur/lvnOw7ibupu3hn8x18+NyHHR2jlSjB3y4RPzca0amVmXoqz4EyVjhVVcXMzAyKxSLi8bgZboxW8bJed0DuIGao15o5nU5zz0wHMcxQ2b4UEbuLKIqCa9euob+/v2tlZZVEDDNGKH333XeRy+XwyiuvdHWZW7SVmcPDQ1y7dg2BQAATExNdWxno5gTkox8tYn1dwcKCCy4XUCwqGBzU8OabBRz1uevEeKuVpBkbpI0Jm3UPgRMbpO3KFrPQdA1+d3mHP7fihvb/s3fu4Y3d5Z3/HF0syZItS75fx+Ox557MxDOZxM4EknRJGNikpYFCn3RJ8xAuzYa2C5vSLk/JboGHLrsP6XJZyi7pZqHpZQsboBS6QEhJ0iRNYCTb4/vdHo9vI9nyRbJu5+wf5pxIHtuSbF3OmTmf58nzJI4tvfrpd855v7/3JomE4+Gc26BF51SrhehqLULfGuEMBoOKuJmYmMBgMFD2y+K2SCSiyfa/avU1MiGd1sx6zUz+0MWMjnJTSXXSkG8kSWJsbIx4PE5jYyNHjhxRzYNHEARVRR5gs+1yOBzG5XLta0ZKtlBTlzxJkuju7s5bJ7fdKKTIa2iQ+IM/iPDGG0auXBFwOuHMmThNTfm1x2KxJE1bX19fx+/3JxVIy1Ebt9udF+FZ56jjUNkhuhe6cZgdyh7xh/yUWko5VXUqp++vFuGfKVqNEMh2q9l2QRCw2+3Y7XYaGxsRRZHV1VWuXt0c1nrx4kWlo6CcuqbG9M2t3CiRGV3M5A9dzKiIQtd/qMXxhORuZRaLhaqqKtU9dNTSnlmSJCYmJhgeHsZgMHDq1ClVrJUaxJ4oigwPDxOPxzl8+DAtLS0FtUemkI6rywX33pvZtZ5LewVBwOFw4HA4aGpqUgYSLi0tKQMJHQ5HUkpaqkOXvdgrCAKPtT/GH/zTHzC5MonNZCMcD2M0GPngTR+kvqR+rx8xIxu0hpbFjNYcaoPBgNPpxGazMTk5yR133KG0S5fTN+VrRR7eqaYDSpnrRcykiszIKYE6uUcXMzpKXYpaxIzf76erq0tJK3vttddUY1siahAz0WiUS5cuEQgEOHnyJL29vapxLAqdZhaJRPB6vUQiEcxmMy6Xq2C2JKKW70etJA4kPHToEJFIRElJ6+/vJxqNKjM73G53VlPSzjee5yv3foW/6fsbeq/2UmOv4V2H38U7Dr0jK6+/G1qOzGgRrYoweHPNzWZzUvpm4rUyMDBAJBLB6XQq4qakpEQVIuJGaAAQDAY1mQKoVXQxozIK5QCqYdaMnFY2NjbGkSNHaGxsRBAEVdi2HYUWM6urq3g8HoqLi+ns7CQWi6lqnQrZmjkQCODxeHA6nbS3t/Pyyy8XxI6d0JIDWGiHr6ioiOrqaqqrq5NqCOT5NkajUam3cbvdWCyW1C+agCTB8LCB0VEBSYKWljN87q237Lu7214o9FrvBa2KAq3PaYFr98vWayVxeOfU1BRA0vDOQrVL13pkRpKkXQWZvPZ6A4D8oYsZHaDw7ZnD4TDd3d2EQqFrukwVWjTsRCHtunz5Mv39/Rw8eJBDhw4hCILSvlotzkWh0symp6cZGBigtbWV5uZm1dU3qeG70Srb1RAEAgH8fj8zMzP09/crDoTdbk+Z1y6K8N3vmnj+eSPBoABIWK3w1rfGefe7Y+QzQ0dLAjcRtdxvMkWLaWYy6YgBQRAoLi6muLiY+vp6JElidXWVpaUlFhcXGRkZUSLWsrjJ9CAgl/arGfla1buZqQddzOgAhS3WTkwrO3369DXdytSUApdIIeyKx+P09/czPz/PLbfcQkVFRZI9oB7nIt9RRnltFhYWaG9vV1IvZFvUQqHT7/aCWu1NnNkBm2mXS0tLjI2N4fP5ePHFF5W2tuXl5TgcjqS90Ndn4Ec/MuJ2S7S0bH7GpSV44QUjhw+L3HJL/gSwWq7bTNGq3VqPzGQqBgRBoLS0lNLSUqVd+tbaNLvdnjS8M1dNZLQuZuTnvp5mph50MaMDFCbNbKe0MjXYlg75TqMKBoN4vV4EQaCzs/OaG6XaBnnmc31CoRAejwdBEOjo6LhmbdQUmZHRqhOoZsxmM1VVVfh8PoqKiqitrVVS0iYnJxXxI6ek9fc7iEYhQfficsHcnEBvryGvYgbUJbrTRav7WKt2Q3aiSltr0+SDgKWlJYaHh9nY2Ega3llaWpq154rWWzPLz5JUDQD0yEz+0MWMyihkzUw+owyJaWW33XYbpaWlO/6unmYG8/Pz9PT0UF9fz5EjR7a9icoPZrWsVb4EhM/nw+v1UlNTw7Fjx3ZdGzWgJluuZxLTbBoaGhBFkZWVFfx+P1euXGFwcJCBgYOsrtayvm7AZrNiMGw6WAYDRCL5tVet0a9UaFUUaD3NLNtrLh8EyFPr5XqbpaUlenp6EEUxaXjnfhpvqOXAba/I9TI7ff5oNEo0GtXFTB7RxYwOkF8xk5hWdsstt6QMZas5zSzXzrrcWnhqaoqTJ09SW1u7qz2gHqco18JckiTGx8cZHR3l2LFjNDQ0FMyWTJAfgFpxArVgYzrIwwbLyspoaWkhGo0SiYS4dAmuXPFjMESwWq0YjXZCoRLa2vK/X7S41lrZx1u50dLMMsVms2Gz2airq0uaBbW0tJTUeEMWN1arNe3Xvl7EzE4Eg0EAXczkEV3M6AD5EQzpppVtRc1pZrm0a2Njg66uLqLRKB0dHSl71qstMpPLNLNYLEZPTw+BQOCahhHbodY0M53CYTabeetbzYyNmfn5z0sxmeIsLW2wvByjqWmCUGiSnh6nkoqT6/x3Le8HLYoCrYowyL8Y2DoLKjHKOTs7y+DgIDabTRE3LpfrmtrXROLx+K7/X+2k05YZ0Idm5hFdzKiMQt1ccy0YMkkr28qNmGbm8/no6uqioqKCM2fOpFWIKXftUotTlCsBsba2hsfjwWq10tnZmdbEazU5LWqyJV3UsKfC4c0WyisrAmVlEq2tIvsddm61wsMPRzl2zEhXlwGwcdNNIrfeakEUS/H7/czNzTE0NITValWEjcvlyklxtBb3hlYjHFpOMyu07YlRTtg8XFpeXlbapV+6dImSkhLlWtk66PZ6iMzsJmZCoRBms1nTgk1r6GJGB8htmpnP56O7uzvttLJ82rYfchHNSkydyiR6lWiTWoRfLiIzc3Nz9PT0cODAAdra2tJeGz0yo20WFgT+9m9NjI4aEEUwGqGtTeS9740mFe/vheJiuOuuOHfdlXgtC4ATp9PJwYMHk5y10dFRQqEQpaWlirjJxjBCre4HrUY4tCrCQH22m0wmKioqlO6a4XBYSUnr6+sjFospwzvdbndKMaB20kkzK9QMnxsVXczoALkRDJIkMTo6yvj4+J4ccxmDwUA0Gs2qbdkg28IhGo3S09PD6upqWqlT+bBpP2QzSiTXDk1PT3PzzTdTXV2dsS1qQU22pEOh7ZUk+N73jAwOGmhr24zGhMPQ22vgBz8w8W/+TWybv9nZwd6IbbAeXafMUobRkJ5DtdVZ29jYULqkTU9PAyTVD+w1vaTQa71XtGi3VkUYqD+yYbFYqK2tpba2Vhl0Kw/vnJiYQBRFQqGQUndjs9k09V2kSjNbX1/XU8zyjC5mdIDsRxn2k1a2nW1qcdATyaZdgUAAr9eLw+Ggo6MjrdSp7bge08wikQhdXV1sbGxw++23p6wdyqUt2UQt35PamZ0VGBkx0Nj4ZlqZxQL19SIDAwauXhWoqEi9lqFoiG9c+gb/MPoPrEfXqbXX8r7j7+Odh96ZsSNltVqpq6tTiqNXV1fx+/0sLCwwPDyMxWJJSklLJ91Eq/tBq6Kg0Kla+0HtYiaRxEG3clfBixcvUlRUxPz8PENDQ1gslqThnXt9/uWLVJGZUCikz5jJM7qYURmFrJmJxa494dwL+00r2842taaZ7ddBliSJy5cvMzAwQEtLCy0tLfvaA2oSftkQVoFAAI/Hg9PppKOjY897SU3OlppsSZdCOtrhMESjAhZLsg0WCywvC4TDqV9DkiQ+/y+f5/sj38dutlNsLmZseYw/ffVPESWRB9oe2LN9icMIm5ubicfjSktbuX4gMSVtp3kdWhYFWrRbbalamaBlISa3NK6qqqKmpoZ4PM7y8jJLS0tMTk7S29uLw+FQhE1ZWZnqUtLSaQCgtWiT1tHFjA6QHcGQmFZ29OhRGhoasnIxq8lBT2S/dsXjcXp7e7l69eo1E+sLZVM22W/NzPT0NAMDA7S2ttLc3LyvvaSmyExia2ad1FRVSZSXSywuCjQ0vLlmCwsClZViWlGZkaURXph8gXJbOS6rCwCnxcnUyhR/3ffXnG84z08mfsLl1cs0O5u5r+U+7Oa9tVU1Go3b1g/4/X5lXsfWlDR5T2jR+dGqmNGq3aBtIQbJkSWj0Uh5ebny/ItEIkpK2uDgIOFwGKfTqVwv2ahP2y/pRGb0tsz5RRczOsD+xUw208q2ouY5M3u1a319HY/Hg9lsprOzM6Me/buhNqd9L7bE43H6+/tZWFjImshT44NfFzPpYbdvFuh/+9smhocFSkslVlYEzGa4664YFkvq1xhbHmM9uk6NvSbp52WWMsaXx7n3b+5lIbigRBObnc08/c6naXO17dv+rfUDa2tr+P1+rl6tRjrSAAAgAElEQVS9yujoKGazGbfbTSQS0WT3I62KAi1HN7SUZrYdu9lfVFREdXU11dXVSJKkDO+U69MkSUpKSStEoX2qBgZ6zUz+0cWMDrA/x1xOK3O73VlJK9uKmufM7KUxwdzcHJcuXaKhoYHDhw9n9aGUy9kumbKXNLNQKITH40EQBDo6OrKWd6w2kacl1GBvR0ec4mKJ1183sLBg4PjxOLfdJnLTTel9p2XWMswGM+F4GKvpzYODUDTE9Oo0AgIuqwuTwURMjDEeGOeJnz7Bc7/+XFY/f+K8jgMHDigpNrK4iUajrK+vKylpTqdT9U6rVsWMlqMb17OYSUQQBIqLiykuLqa+vj7pMGBxcZGRkRHMZnNSpNOSzulGFuxP1ZpZr5nJL7qYURlamjOTq7SyragpdSqRTAWgKIoMDg4yMzPDTTfdlHFHrnRtUstaZSqsfD4fXq+X6upqjh8/ntWHdSEaI6S6FtQiOrWAIMDp0yKnT4uIIqSzNRLX/5bqW2h1tdLn66OppIkiYxGrkVUWggvExThuqxuTYfNxaDKYsJvt9Cz2MOQf4kj5kax8hqvBq/z9yN/zz5f/GYA7Gu7g/tb7qSivUKKPsVgMl8uF3++nt7dX+W/5FNput6vOAdeqmNGq3aDtqBKkFgM7IQgCJSUllJSUKIcBgUCApaUlLl++TH9/P3a7XblmysrKcjIPKlVkJhgM6mlmeUYXMzpA5mlm4XBY6TCV7bSyrag5zSxd4bCxsYHX6yUej9PR0ZGzG53aIhDpOOyJs3WOHTtGQ0NDTmzJN/Jn3/reWq2ZUYvzl44Pt3Vti4xF/PEdf8x/evk/Mbo8SkyMYTVZubnqZl6+/PI1LZpNgokNcYNAOJAVm5c3lvnMK5+hd7EXp3Wz5fqzvc/SvdDNk+efpMy6OXzQZDJRU1NDTU0NkiSxvr6O3+/H5/MxOjqKyWRSojZut1sVXZ/Usi8yRcuCQMtRJcheZMloNCrXwqFDh4hGo0rzjZGREWUelBy5yVakUxTFXa89ec6MTv7QxYwOkJlgkKfTl5eX097enpOTj0TUnGaWjl1Xr16lu7ubyspKjh8/ntPOLGpLM0u1PrFYjJ6eHgKBwJ5n62TLlnyiJUdES7buRpu7jaff8TRvzL7B0sYSB5wHqLXX8pa/egvBaJBSy5sHMuvRdZwWJ0fLj2blvV+cfpG+q30cdh/GbNysi6kurqbvah8vTr/IA20PXCMKElPSmpqalFNouXagr69P6fokp6QVouuTWu43maJlQbDXyIZayFWanNlspqqqiqqqKuDNeVBLS0vMzMwgiiJlZWVK5Gavkc50GgDoYia/6GJGZRQyzSyVmMlXWtlW1JQ6lUgquxLXK1cRh0xtyiephNXa2hoejwer1UpnZ2dOT5nV6LRo1QnUMhaThfON55N+9shNj/DfL/53fCEfRYYiNuIbGAUjH77lw0kCZz/0Xe3DZDApQgbAbDRjNBjp9/UrraF326eJp9CQ3PWpv7+faDRKWVmZ8jv5SknTaoRDqxEl2BQDWmwWIZOvmp+t86DkSKfcNt1gMCgpnG63O+1GPOm0Zs7VwZzO9uhiRgdIHf1ITCu7/fbbKSkpyattWkszi0QidHd3EwwGc56Gl4jahmbuZMvc3Bw9PT0cOHCAtra2nDsVemRm/2jZ+duNj5/7OOW2cp564ylm12Y3Z2AUVxEX40TiEYqM+xfZjiIHcfHae1hcjCstoDO9brd2fQoGg0oL6PHxcWW6uixuclUYrdV9IUmSZqMbWhWQsCkECmH/1kinKIqsrKzg9/uZnZ1lcHAQq9WqiJvdht2mE5mpq6vL1UfR2QZdzOgAuwuGfKeVbUVN0YZEdrJreXkZr9dLaWkpHR0deT1BU9NayWIm0dkRRZHh4WGmp6e5+eabc9IEYSdb1ISaROeNjtFgJCbG2IhtUGYpo9hcTDge5qk3nmIhuMCn3/Lpfb/HbXW38ePxH7OwvkBlcSUAC8EFrCYrt9XdpvzeXvdp4pT1xsZGRFFUUtISC6NlYZPNQYRa3cdaTzPTsu1AwcWYwWCgrKyMsrLNerVYLKZ0FpSH3ZaUlCjiJjGNM50GAHo3s/yiixkd4M2amUTHU5IkRkZGmJiYyGta2Xa2yac5arqBb02jkiSJqakphoaGsjLocS+oKQIhP6zk7y0SiSRF9xwOR95sUdO6yGjVCbzeWIus8XT30xgEA+XFm13FHDhYCa/wfwf/Lx86/SEaSxv39R5na87ynqPv4TtD32HANwBAiaWE9xx9D2drzgLZ3Q8Gg0E5XU4sjE4cRJiYkuZwOPZ8r1LbfTldtGo3aLs1s3wfVltUzGQyXTPsdmsap9PpxO12E41G9aGZKkMXMyqjkDUz8OYNfmNjg+7ubsLhcN7TynayTW1Fj4lNE2KxGL29vfj9fs6cOaPktRfCJrU4yYmiOBAI4PF4cDqddHR05D26l+9ISKrrWEtOlJZslcnEUZ0ITLC8sYzDnCyu7UV2rgav0u/r37eYEQSBh048REd9B5cWLwFwsvIkLWUtSddJrtY6sTBaHkQop6RNTEwo4kcWN5kM8dWqKNB6qpaWbQf131csFktSZ8FgMKiIm1AoRF9fn3K9uFwubDab8pn0bmb5RxczOgBJ4VO/3093dzcVFRUFSSvbinzTVqOYEUVRKWS3WCx0dnbmZWhXKpvUgHxjn56eZnh4uGDRKtkWfc6MznaUWcswGUxExSgW3rx2o/EoJoOJMktZVt5HEAQOuQ5xyHUoK6+3HzvkQYQNDQ1JtQNXrlxhcHAQm82WlJK22zNAq2JG66laWhYzBoNBU2ufmMbZ0NDAyy+/TEtLC5FIhPn5eXp6evjYxz5Ge3s7d999N5FIRI/M5BltXg3XOYW4yGWRMDIygsfj4fDhw9x0000FFzLwpphRWxMAg8FANBrl1Vdfpbq6mrNnzxZUyMg2qUXMyM766Ogo7e3tHDx4sGAPMLXVqGjpQS6jpvXLJg0lDdzRcAerkVXCsTCwKWSWw8u0ulo5W3s2L3YUShTItQMtLS2cPXuW8+fPc+jQISRJYnh4mJdeeomLFy8yMTHBysrKtvtAq/tZi3aDtm1PVTyvBURRpKSkhObmZtrb27nrrrv47Gc/S1lZGV/5yld4/fXX+Q//4T/w8Y9/nB/+8Iesr6+n9bovvvgi999/P3V1dQiCwHe+852Uf/Pss89y6tQpiouLqa2t5ZFHHsHn8+33I2qOwnuqOqogHN58iC8sLBQ8rWwr8imOWpx02LyZTUxMEIvFaG9vV/raFxq1rFMoFMLj8QBw5swZpciyUKjtwa82cXWj8yd3/gkL6wv0Xu1FDG+e2B90HuSpX3kKg6BtxytTzGYzlZWVVFZuNipITEmbmpoCSGpnq1XHWk8zKwxatl1ma5aI1WrlXe96F+9617uQJIlTp07x0EMPsbCwwGOPPcbMzAwdHR38q3/1r7hw4QJnz25/QLK+vs6pU6d45JFHePDBB1Pa8fLLL/P+97+fp556ivvvv5+ZmRk+8pGP8Oijj/Lcc89l7fNqAV3M6ChDHQVB4NSpU6oSMjJqijiEQiG8Xi+xWAyDwaAaIQOZDT/NFT6fD6/XS3V1NSsrKwWPVoF6RF4iWhEzWnRUM6XWUcu3f/3bvDT9EuOBcWrttdx94G6spvRrR/aLWkWBzWajvr6e+vp6RFFkdXUVv9/P3NwcQ0NDSJLE+Pg4lZWVuFwuVUTz00FPMysMWrYdNq/TVCnvoVCId7zjHXR2dgIwNjbGT37yE55//nkmJyf5+te/vu3fXbhwgQsXLqRty2uvvUZzczO/+7u/C8DBgwf58Ic/zOc///kMPtH1gTbuOjcY+Tq1TexWduzYMYaGhnL+nntFLbNmFhcX6e7upqamhqamJl555ZVCm5SEnPpWCGSnZnR0VBkSOjMzowqnXW1Oi9rsuR7JdI1NBhN3H7ibu7k7RxalRu37wmAw4HQ6cTqdHDx4kGg0yksvvYQgCIyOjhIKhSgtLVXqbUpKSlTruKpVPKaD1qNKaqp9zRTZD9lt/bc2AGhpaeFDH/oQH/rQh7JqS2dnJ5/85Cf5wQ9+wIULF1hYWOBb3/oW73znO7P6PlpAFzM3KBsbG3R1dRGJRJS0srGxMVUIhu0odGQmUfgdP36c+vp6QqHQNXNUCk2hIhCxWIyenh4CgQDnzp1Tph+rJSKSbztWVlYYGRnB4XBQXl5OSUnJNXtEDSIvE7RmL0A4Fuankz/FM+/BarJy94G7OV11WjXXayJaXF/ZKT106BBFRUWEQiGl49P09DSAko7mcrlU1eFJyxECPapUONJpLR0KhfKy1zs7O3n22Wd573vfy8bGBrFYjAceeIAvfelLOX9vtaGLmRsQOa2soqKCM2fOKGkBakhR2olCipmt81HkNDw1towuRGtmuZub1Wqls7OToqI3J6arpTYknw/+K1eu0NvbS01NDWtra0xPTyMIgnJa7Xa7VbMu1yuSJLEeXeexHz3GazOvEZc272vfvPRNPnjqg/xO+++o0hlUo027Ie9h2W6bzYbNZqOurg5JkpSUtPn5eYaGhrBYLEntbPM5UHg727W23jJaFgRabwAg+0g77Z1oNEosFsvLHLW+vj5+93d/l0996lPcd999zM7O8sQTT/CRj3yEp59+OufvryZ0MXMDIYoio6OjSlpZfX190gVpNBpVcYq+HYVKM1taWsLr9eJyubjllluS8sHV2DI63xGIubk5Ll26RGNjI4cPH77mBq+WuTf5WBdRFBkaGmJmZobTp09TWloKbDpNcuvbmZkZ+vv7EQRBScErKyvLycM9EoG+PgOhkEBzs0htbeG/h3zy3cnv8srlV6gorsBmsiFJEv4NP1/v/jrnG89zc9XNhTYxCTVcJ5myVcwkIggCpaWllJaW0tzcrExYX1paYnx8nN7eXmXCutvtprS0NK9OrtZTtXTbC4P8vN9JzKytrQHkJTLzuc99jjvuuIMnnngCgJtvvhm73c6dd97JZz7zGWpra3Nug1rQxYwKycVp0XZpZVtRS13KduQ7MiNJEpOTkwwPD9PW1saBAwe2ddQBVQnAfIkHURQZHh5menqam266ierq6m1/Ty0RiFzbIUfv5CGzxcXFRCIR4M3Wt3L722g0ymuvvUYsFqOvr49YLKak4pSXlycNX9srQ0MGvvpVM2NjBmIxKCuTuO++GA89FCNT3a3V0+sXrryAyWDCZrIBm5/DbXUzvTrNz6Z+pjoxA9pb693EzFa2m7Aud0nr6elBFMWkwZ3ZuA5S2a619ZbRhVjhSBVZCoVCQH7ETDAYvKbhRuIA9BsJXczcAOyUVrYVXcxsklj/cfbsWVwu17a/Jz8I1SZmcm3P1rS73cLpaqqZyRUrKyt4PB5KS0uV6N1uDxKz2YzZbKapqQmXy8X6+jp+v5+rV68yOjpKUVGRImz20h1qdRX+238zMzFh4OBBkaIiuHpV4FvfMlNZKXHhgjqv8WwTjocxGpKVmyAICAiE4+ECWbUzWnQ+MhEzW7FYLNTW1lJbW4skSaytreH3+1lcXGRkZASz2ZyUmpntlDSt151o2Xati5lU9TJFRUV76uq3trbGyMiI8t/j4+N4vV7cbjdNTU380R/9ETMzM3zjG98A4P777+eDH/wgX/3qV5U0s9///d/n3Llz1NXVZf7hNIwuZq5jRFFkZGSEyclJpbvUbqi5ZiZfQmt1dRWPx4PNZrum/mMrgiCoxlmXybU9gUAAj8eD0+mko6Mj5Q37ek8zm52d5dKlS7S0tNDS0pK2gyFHigRBwOFw4HA4aGpqIh6Ps7y8jM/nu6Y71E6NBLbi8RiZnDTQ2ioi+39VVRJra/CTn5h4+9vj7MUPUsP3mAnnqs7x3envEhfjiqgJRoMYDUbaa9oLbN32aM1B3Y+YSUQQBEpKSigpKeHAgQPKdeD3+5mcnLwmJc3pdO7bIdZqZEZuOqNVQaCmtOy9kMr+9fV1iouL97S3fv7zn3P33W92U/zYxz4GwMMPP8wzzzzD7OysMusJ4Ld/+7dZXV3ly1/+Mh//+McpKyvjnnvu4T//5/+c8XtrHV3MXKekk1a2FTXXzOQj4jAzM0NfXx/Nzc20tramdTMqdJe1reRSPFy+fJn+/n5aW1tpbm5Oa33UlGaWTSRJYmhoiOnpaU6dOrWnWUPbrYvRaKS8vJzy8nJg8zr2+XxKdyhBEHC5XJSXl+N2u7ed4RMIbH7WrQfZdjv4/QKiSMapZlrk1w/+Ot6Al6mVKSxGC3ExjojIPQfu4c6GOwtt3jVo0bnO1bW99ToIh8NKl7Te3t6k1Ey3270n51GrEQL5eaNF20G76y6TKs1sa1vmTLjrrrt2vaaeeeaZa3720Y9+lI9+9KN7er/rCV3MqJD9PtAWFxfp6elJmVa2FbWnmeXKtng8Tn9/P/Pz85w+fVqZfJ2uXWoTM9m2RxRF+vr6mJ+fp729XXEw0kEtkats2hGNRunq6iIUCqVMs9vNnnSwWq3XDCz0+XxKIwGHw6E4dHIjgdpaEaMRgkFIfKYuLwvcemv8hqiZkSSJens9X3/H13m291leufwKdrOdC4cu8BtHfwOzsXBdtHZCDaI/U2QBlus9YrFYqKmpoaamZrNT3S9TM+UIpslkSkpJ2y2ivtV2rSHvE60KAq2LmXQGZtpstjxapAO6mLmuyDStbCtqTzPLhVMcDAbxer0IgkBnZ2fGNyG1RbOyLWZCoRBerxdgT+ujpjSzbCCnITocjpRpdqmiUpmuS+LAQrmRgFxA3d/fTzQaVU6rT5xo4uJFK5WVEhaLxOKiAbtd4h3viGX0nlqnqbSJP+r4o5y/jyRJeBe8XJy7iNlgprOhk1ZXa8avozXnuhCCYLvUzEAggN/vZ2pqir6+viSR73Q6t3U+tZqqJd/ftbZXZLQuZlLVzMiRGa1+P1pFFzPXCXJaWTQaTTutbCtGo1HpwKQ2ciG0FhYW6O7upq6ujqNHj+7pBqu2yEw207p8Ph9er5fq6mqOHz++p/VRU5rZfr+nubk5enp6MkpD3M2e/WI2m6murqa6ujrptNrv99HRMUUsdoDh4WrW14toazPx4IMiZ8/ufQ3U8D2qkZgY43OvfI7vj36fjdgGAP/D+z949NSjPHzTw2l/11pcXzXYbDQaFeECmw1K/H4/S0tLisgvKytTfsdutyv3Ay06nFpPM4vH43sqjlcLqcTYftLMdPaOdnfUdUymN9jFxUW6u7upqqri2LFje75RqC3KkEg2RYPcVnhqaoqTJ0/uqxe72sRMNuyRJInx8XFGR0f3FOFLRE1pZntFkiRlv9x88807tqHO1J5sOoJbT6tvuilOZ+cyU1NTzM0FMJsDFBWVMj6efiOBfBOLwcCAgStXBOx2OHEiTllZoa1KzQ9Gf8Bzw89RWlRKtX1zbywGF/ma92ucrj7N6erTab+W2r6TVKgxVauoqCgpJS0YDCoRzPHxcYxGIy6XC1EUiUajhTY3Y2QRprZ1T5cbJTKjk190MaNhEtPKjh8/Tn19/b5eT801M0ajMSsPnnA4jNfrJRqN0tHRse8pvdebmElsS33u3DmcTue+7VHD6e1eRVU0GqW7u5v19fU918fsRC7XZbtGAnKNQbqNBPLJ6ir8r/9lxuMxIl/mdXVGfvu3Yxw/nt73JkkS3x/5Pv9n4P8wND9Em6uNR6VHuavprtwZDvzj2D8iSiJO65vXSmVxJRPLE/zT1D+lLWbUcJ1kihrFTCKCIGC327Hb7TQ2NiKKopKSBnDx4kXsdntS3ZnaO21pNT1ORuvdzNKZM6PXzOQfXcxolMS0smw45aDumpls2Ob3++nq6sLtdmfUGGE31BJ5kNnPif/a2hoejwer1ZqyLXU+7Mkme7FjbW1NcXY6OjqyOuci3w6g1Wqlrq6Ourq6axoJDAwMUFxcrAibrTUG+bD1xz828dprRg4eFLHbIR6HkREDf/mXJj75yQh2e+rX+J/e/8mXL36ZuBhHiAu8vvA6/c/38+T5J3mg7YGc2R4IBzAZku8lgiAgIbEWWcvotdQsDLZD7WJmKwaDAZfLhdPpZHJyknPnzhEMBvH5fAwMDBCJRJJS0hwOh+o+n1bT42S0HplJJcaCwSD2dG5YOllFFzMaJFtpZVtRe2Rmr6IhMW3qyJEjNDY2Zu1hcL1EZubm5rh06RKNjY0cPnw4a+ujFrGX6eeR66mamppoa2vLifNQKJG3XSOBpaUlfD7fNY0E3G43Vqs1p/ZEIvDqqwZcLkkRLUYjtLSIjI4aGBgwcObM7nvoavAqz/Q8g8lgotZRy/r6OiaTiauRq3zV81XuO3gfFlNuok+31t5K92J30jybSDyCQTBwovJE2q+jBtG/F7ToWMtrXVRUhMPhoKqqCkmSCIVCSkraxMQEBoMBt9utXA+5vhbS4XoQA1q2Px6P73qwpaeZFQZdzKiQnR4OibUe2Ugr28r1WDMTjUbp6elhZWUlK2lT2bIrV2QqHhL31E033URNTU1W7dFampkkSYyOjjI+Pp6T9Ui0Rw3rApuNBKqqqhSHTj6pltveyg/uxcVFqqqqsj6JPRqFSERga6abyQSiCOFwamf50tVLBMIBahy//L5+ubQuq4u5tTkmAhMcKT+SVbtl3n303fxk4idMBiZxFDkQJZFgNMgt1bfwtua3ZfRaWhMGWovMyGzX3lgQBIqLiykuLqahoQFRFFlZWcHv93PlyhUGBwex2WxJKWmFKGS/HsSAlu1PpzWzLmbyjy5mNEIu0sq2oubIzF7SzFZWVpQ2utlKm9qK2gRgJuIhEonQ1dXFxsZGzvaUliIzsViM7u5uVldX99wRUOsk1hjIbW+Xlpbo7u5mamqKoaEhSktLFYeutLR0385scfFmFObnPzdSXi4hv5zPJ1BSAo2NqfePzWTDaDASE2NJKV9xMY5RMGI15e5EvaGkgS+97Ut849I3eGn6JcwGM+879j7ef9P7cRSlf01pURhoNeUpnfbGBoOBsrIyysrKkiKYS0tLDA0NEQ6HcTqdyrWQr6Ya10PNjJbtT6cBgNxZTyd/6GJGAySmlR0/fjxnxXNqrpnJRDRIksTly5cZGBigpaWFlpaWnD1k1BaZke1J5RgFAgE8Hg9OpzPlvJT9oJYIRCpRtb6+zsWLF7FarXR0dORE+G61Rw3rkgq5kQBAe3s7kiQpaTjT09MAijNXXl6+p0YCggD33RdndNRAX58Bt1siFNqMyFy4EKOhIfU63VJ9C02lTYwtj1HnqAM2Wyb7I37ON5ynqbQpY7sy4WDZQZ48/6Tyne7lfqOF/bAdWhQze/meEiOYsOm0Li0tKfNtgKSUtFwVgWtVQMpoXcyksl+PzBQGXcyomFynlW1FbVGGRNIVDfF4nL6+PhYXFzOeVp9Lu/KF/JDbTcxcvnyZ/v5+WltbaW5uzumDUS1O+26fUa6PyXa90F7tUTOJjQQkSbomDae4uFgRNjsNK9yOo0dFPvrRCC+8YGJoyEBNjURnZ4zz5+Oks1RFxiL+4/n/yBMvPMHM2gyxSAyD0UBreSt/2PGHeVvv/b6P1vaFFqNJsDcxsxU5Ja2+vl5pquH3+5mbm2NoaAir1aoIfZfLlbUDo+tdDKiddCIzejez/KOLGRUiCAKhUIiuri5isVjOUoC2ouY0s3RsW19fx+v1YjQa6ezszEuxptrEjPyQ2E5AiKJIX18f8/PzeRF6sj1qETNbvydJkhgbG2NsbGzf84Z2YjdnTw3rkglb7RUEQWkkcPDgwW0bCZSVlSld0lJNxW5rk2hriyJJpCVgtnK29ix/92t/x/8b/394R7y0VbXx3vb34rRkt04uV2htP4B2xUy2Z7UkNtU4ePAgsVhMSUkbHR0lFAolpWeWlJTs2aHXuhi4EVoz58Nf00lGFzMqJBqN8uqrryrdyvJ14atZzKQSDXI3roaGBg4fPpy3m71axczWB0YoFMLr9QLQ2dmZt5MjtdbMJM7Tue222ygtLS2oPYnMzQl897ubrYqLiyXuuSfOO98ZQwWNlHYlnUYCctTG5XLt2EhgP/5lRXEFD514iJOxk1RUVGQsZERJRKBwAwm1Jgy0KmZybbfJZKKyspLKykpg8/4rp6TJ6ZlyOprL5cooLel6EDNat1+PzKgPXcyoELPZzK233pr3AmT5FF2NN5udRIMoigwODjIzM8PJkydz1n1qJ9TirMskihkZn8+H1+uluro6r+IY1JVmJtsRDAa5ePEiRUVFOWsMkYk9iczOCjzxhIWhIQN2u0QsZsDjMeL1GnjyyQgFaJ60J6dvu0YCy8vLyhT23t5eSkpKlKhNNhoJ7IfLq5f50diP6Frowmw001nfydsOvo2Sovzdg9VwnWSKlsVMPp9xNpsNm82mpGfKKWnz8/MMDQ1hsViSUtJ26xioNwAoLKkiM/qcmcKgixmVUlpamveHm+zkqvFms13UaGNjA6/XSzwep6OjoyA3EKPRSFQeWa4CEmtmJEliYmKCkZERjh07RkNDQ97tUVuamdxMo66ujiNHjhR0n2+3Ls89t1kz0toq/lK4SKytwc9+ZuKNN+J0dKgzcpoKuZGAnNq4sbGxYyOBbMzzyGTPza7N8mdv/Bnjy+NUFFewFl3jr/r+ipGlEX7v7O/lbD7NdmhNGGhVzBSyiF4QBEpLSyktLaW5uZlYLLat0E/sGJh4n9JyAwC1HpZmQjqtmfXITP7RxYyOgnyBxuPxgvTP342tkRmfz0dXVxeVlZU57fCWqV2FRs4Dj0Qi9Pf3EwgEcjJfJxN71LI+8Xgcr9ebl2YaqdjJGXn1VSMOh5QUgXE44MoV6O42FFTMZFOU7tRIYHZ2NqmRgDzPI5fX98+mfsZEYIKTlScxCJtOVigawjPvwbvg5ba623L23omoQfRnilbFjJrsNplMVP8nltMAACAASURBVFRUUFFRAWwKfTklraenB1EUk4bYanlOi/ws0Kr9sHsDAHnwql4zk3/U5bHqKBQiPUd2hNVYN5PYclgu2i5UtGE7u9SEIAh4PB6Ki4sLlkYlo4Z237FYjOHhYURRpKOjo2DCbivbXd9WK2xdLvnXCvg15pTdGgkMDAwojQTkeptUjQQype9qH6VFpYqQAbCZbcTFONMr03kTM6BHZvKFmqMDVquV2tpaamtrkSSJtbU1/H4/i4uLjIyMIAgCRUVFzM/P43a7sz7ENpfIz0qtNgBIJ7IUDAb11swFQBczOgqCIKjC+dwOo9GIJEn84he/YH19vSBF29uhNjEzNzeHKIq43W5OnDhR8Ad2oWtmgsEgHo9H2dtqETI7OYD33BPj0qUi1tcl7PZNIbOwIOBwwG23Fe66zKfDul0jAb/fj8/nY2xsLO1GAulSaiklvBxO+pkkSUhI2Ez5SxfRamRGi2hFhAmCQElJCSUlJRw4cIB4PM7AwABra2tMTExck5LmdDoLfs/fjXSGlaoZOX07VQMAXczkH13M6CSh1lkza2trwOZNsLOzUzWnUWoRM5IkMTQ0xNTUFCaTiaamJlU81AqZZiY3PqitraWxsZFXXnmlIHZsx04i74EHYng8Rl55xUgstilmSkrgt34ryrFjhd9nmbAYXOS5oed4faKf9eEzOH33cNB1gPZ2kc7OOOmUuCU2EmhsbCQejxMIBPD5fLs2EsjEWb2t7jYuzl3EF/LhtrqRkJhemcZtdXNz1c37XIX00YqDnYgWbQbtFtEbjUYsFgsmk4kjR44QDofx+/0sLS3R29tLPB5XopjptEPPN3K9jxbXHlAOeneyX04z0xsA5B9dzOgkobb2zJIkMT09zcDAAAAnTpxQjZABdYiZSCRCV1cXGxsbdHR08MYbbxTcJpn9NAAYGhJ4+mkD4+MChw9LPPponObm1H8nSRKTk5MMDw8rqYjBYHBPNuSS7dbFbofPfCbMK68YuXTJgMUCt98e5+RJcV8ti7NBJt/j1MoUH/7hhxmZnyP40geJXG7GaOnnUFmErq6j9PYa+MhHohm3mzYajYqjBhAOh/H5fNc0EgiHw2k35uio72AiMMELky8wtz4HQIWtgvceey+NpY2ZGXiDoVVRoFURBskpchaLJSklbX19XYliyu3QE+ttCplyvNV2LZIqTS4SiRCPx3UxUwB0MaNSCnWjVZOYicVi9Pb24vf7OXPmDG+88Ybq0hoKLWYCgQAejwen00lHRwcmk0k1HcRg72lm3/++gfe9z4QkbdaQGI3w5S8b+d73orzlLTu/Xjwep7e3F5/Px6233kpZWVmSHflyYlIN5Nvt/xUVwV13xbnrLnVch3vha56vMbo8SsnCuwjPn8NVP0VYWOEy05yureDnP6/A4xH33dDAYrEkNRJYXV1Nmm0zNzeXspGAyWDit078Fp31nYwuj2I2mDlRcYIqe9W+bMsULTrYarnPZIrWO4Jtt48FQcDhcOBwOJR26IFAAL/fz9TUFH19fTgcjqSUtHzXrmi5eQG8af9Oe0c+NNPTzPKPLmZ0klBLzcza2hper1eZBWKxWFRjWyKFFDOXL1+mv7+f1tZWmpublRtsoQVWIntJM9vYgEcfNRGPgyRtfqbNf5f4wAfMDA5G2O55GAqF8Hg8GAwGZc8k2qE2tOoIpiIuxvnp5E+xm+1EZlsRjDEM5ig2rKxEVlmITWGhgqEhgY6O7L1vYsvb5eVlKioqsFgs+P3+axoJuN1u7Ha7si8EQeCQ6xCHXIeyZ9AeP4OW0KIAA+3aDekLsa1RzEgkorRD7+/v3/V6yKXtWhYz6RT/gy5mCoEuZnSSUEPNzOzsLJcuXaKpqYm2tjbl5qEG27ZSCOEgiiJ9fX3Mz8/T3t6uzO6QUVM75L1EZl58UWB5+dqHqigKTE+DxyNw5kzya/r9/qTBoFsfOInzd9TgxBS6MUKmZLJmEm9+LsEcBfHah78oQq6zRY1G47aNBPx+f1IjAfmfQqevamk/yKjlesoULTvVe7W9qKiImpoaampqtr0eTCZTUkpa4mFQNm3Xaicz2L0tM2weqFmtVk1/Rq2iixmdJAqZZiaKIgMDA1y5coVTp05RVZWc5qGmiINMvm0KhUJ4vV4AOjs7tx3OpaY0s73YEg7v7hxtbLz575IkMTU1xdDQEEePHqWxcfsaB9nhUosTo0UHMF1MBhN3N93Ntwa/hbO+n9XBdmJBB7Giq5gNZkqizWCFkyfzd93s1EjA7/czMTFBX1+f0hWqvLyckpKSguwTre0LrYoZrdoN2bmHbb0eRFFUrgc54m+327M+60kt99+9kipNbn19HZvNptm9pWV0MaNSbrSaGdlJlySJzs7ObcO0N3qamTwotKqqimPHju34cFGT6NtLlOiOO0SKiiQikWuvgdJSSYnKxONx+vr6uHr1KmfPnsXlcu1qh9pQi+BMl0zs/dAtH+IX879gXHwesaWCleE7EGJtNJU2IZS6uPe+WM7FzG7feWIKTmtrq9IVyufzMTMzgyRJuFwupUuaNdNOBXtAa/sBtCsKtNq4AHJju8FgwOVy4XK5OHToENFoVInayCmaTqdTuWYcDseevneti5lUkaVgMLjtAaNO7tHFjE4ShRAMi4uLdHd3KylCO90sbtQ0M0mSmJiYYGRkZNfog4zW08zcbvjjP47zx39swmCQEEUBo1EiHhf43OdiWK2bU7I9Hg8AHR0dKZ3NxMhMvthrA4DrgWZnM//7nf+bbw99m180emChm+bY27m5uoljR6O0tYnb1j1li0z33NauUHIjgdnZWQYHB7HZbIqwydYp9XZobV9oVcxouQFAPmw3m81UV1dTXV2ttBuWxc3ExAQGgwG3262kpaUr9q+XBgA7obdlLhy6mNFJIp+CQZIkRkZGmJiY4Pjx49TX1+/6+2qKOMjk2qZYLEZPTw+BQIBz586lNfRR62lmAE88EaelReKLXzQyNgZHj0p8/OMx3v52kaWlJTweD5WVlWkPBlXbA/R6rpmRqXHU8G/b/y20J/5UXdfvdiQ2Ejh48CDRaJSlpSX8fj+Dg4NEIhGcTqcibrJVOK2l/SCjVTGjVbsh/9ENQRAoLi6muLiYhoYGRFFkZWUFv9/PlStXGBgYoLi4OCklzWTa3rW8USIzWt1bWkYXMyrlek8zk2ejhEIhbr/9dkpKSlL+zY2WZra2tobH48FqtdLZ2Zn2jAA1ib79RIkefFDkwQeT/3ZqaorBwUGOHDlCY2NjxtdJPtcllXOqRef1RsRsNuetkYAWnSAt2qzlNLNCCwKDwUBZWRllZWW0tLQkif2hoSHC4XBSSlpJSYnqahb3SqoGAMFgUO9kViB0MaOThMFgIBaL5fQ9lpaW6Orqwul00tnZueMpzlZupDSz+fl5enp6aGxsTOroVkib9kK2IhByB7eFhQXOnDmjtBvNxA41oTZ70kEXX9sXTi8vL+P3+5mcnNxXIwEtrq9WIxxaTjNTmxBLFPuw6dDL4mZqagpAETbhcFhVtmdKOq2Z9ZqZwqCLGZ0kjEYj4XA4J6+dOJm9ra2NAwcOZPRAUZOTLiOnUWXroS5JEkNDQ0xPT3Py5Elqamoyfg01pTBlI+VtY2MDr9eLKIp0dHTs6WFRiJqZVKjlO9JJj9GlUboWuigpKuHOxjuxmqxK7YAsrndqJCCLm3Rru7SCVsVMRnYvLWHs6gKLhfiZM5tTbQuI2oWYnJJWX1+PKIqsrq7i9/uZnZ0lEAhgNBoZHBxUam7SPcxUA+m0ZtZrZgqDdnaRTl7IVfQjFotx6dIllpaWUnae2gm1pplBdvrny6l3Gxsb3H777Tgcjj3bpBanfb/Canl5GY/HQ3l5OSdOnNjXGqtJ5KnJFp3dicajPPnyk3x78NuEoiGMgpFaRy1f+JUvcHv97Um/u1Mjgbm5OYaGhrDZbIqw2dpIQIv7QctiJmWEQJIwP/00RV/5CgQCYDAgNTQQ/tzniGdz2muGaClVy2Aw4HQ6cTqdHDx4kOHhYdbX1wEYHR0lFApRWlqalJKm5s+WqgGAnmZWOHQxo1Kup5qZ1dVVPB4PNpuNO+64I+3aj+1sU4uTLpMtMRMIBPB4PDidTjo6OvZ1WqW2bmZ7tUWed7CXKN5OtqjFYVSTLemgRYc1WzY/3f00f93711hMFqqKq4iJMWbWZnj8x4/zo/f+CLdt+5THrY0EYrEYS0tL+Hy+bRsJaFEYqC3lKV3SiW4Yf/hDij7/eZAkJLcb4nGEyUksjz9O6O//HqmuLk/WJqMlMbMddrudtrY2YDOSIaekTU9PAyQN7lRbylY6DQB0MVMYdDGjk0S2ox8zMzP09fXR3NxMa2vrvh7Waoo4yCSKmb0iO+2HDh3i4MGD+3ZotN7NTB6eOjs7S3t7O+Xl5VmxRW0CQk22XG9ka20lSeLZ3mcRBIGSos0mJWajmXJrOVeDV/nh2A956MRDab2WyWSisrKSyspKpd2tz+dTGglIksTo6ChVVVX7biSQL7QowCA9u83PPgvRKFJ19eYPTCakykqExUVM3/0u0d/5nTxYei1aFZCwGdlI3Nc2mw2bzUZdXZ0SyfT7/czPzzM0NITFYqG8vFyZgVPoayIej+960BgKhXQxUyB0MaOTRLaiH/F4nIGBAebm5jh9+jSVlZVZsU1taWb7qcWQi9rn5+ez6rSrSfRlGpkJh8N4vV5isRgdHR1ZfTCoyelSky3pciOKr5gYwxfyUWRMjiYbDUYEQWAxuLin101sdys3Evinf/onzGYzk5OT9Pb2JqXflJaWqtKB1bKYSRVJN0xOXlsf88vvwHDlSq5MS4naa2Z2Y7eoUmIks7m5mVgspjTXGBsbIxQKKc01CnVNpKqZWV9fp6KiIo8W6cjoYkYniWwIhmAwiNfrRRAEOjs7sxYqVmPNjCAIexIPoVAIr9cLkNU1km1Sk5hJ1wmWU+1cLhcnT57M+mDCfK3L8jJcvSpQVSXsWit8I4oDrWE2mmlztSmF/zKReARJkmhztWXlfWSnrLm5GavVqjQS8Pv99PT0JDUSUFP6jVbFTDqCQGxrwzgzA5IE8u/+8vkjNjfn2MJd7NJwmlkm6dgmk4mKigpFHGxsbOD3+1laWqKnpwdRFK+5JnK9F1PZrzcAKBy6mFEpWq2ZWVhYoLu7m7q6Oo4ePZrVm67BYCAajWbt9bJFpmLG5/PR1dVFVVUVx44dy7rTribRl26amZyO2NraSnNzc072f64dgLU1+NM/NfK97xnY2ACn08hv/maE3/mdGFu/4nynvAWD8PzzJrq6DFit8Ja3xLj1VpF0l1mLDmu2+NDpD/H7z/8+i8FFHEUOYmKMUDTEicoT/Erzr2TlPbbuhe0aCfj9/msaCcgdobJ9D9mr3VrA+MILHPmTP8ExOAg1NUQfeWQzZWxL+lD04YcxvvoqwuIiktO5WTOzsoJUW0vsgQcKZL32xcxebbdardTV1SkpaWtra/j9fhYXFxkeHsZiseByuZS0tFykpKVqABAKhVRz0HCjoYsZnST26giLosjw8DBTU1OcOHGCuhwUR6oxzQzSFzOSJDExMcHIyAhHjx6lsbGxoPbkg1TREFEUGRwc5MqVK9xyyy05D9Hncl0+8QkT3/++AZtNorgYlpcFvvhFCyDw+OOFE+GBAHzsY1beeMPI5seX+Nu/NfH+90d5/PFo2oLmRuWdre8kGAvypV98ibm1OYyCkbcfejtP3vEkVtPurZYzZTvRuF36zdYhhWVlZUojAbvdnjfxqbXIjOkf/gHrww9jFUWQJITxcSxPPonx0iU2vva1pN+N33UX4c98hqKnnkJYWACDAfHUKcKf/jRSFtKm94J8/7oRxUwigiBQUlJCSUkJBw4cIB6PKylp4+PjXLp0KSklzel0ZuV902kAoEdmCoMuZlRMIQqW91IzEw6H6erqIhwO09HRseeWwqlQk5OeSDp2xWIxenp6CAQCnDt3DqfTmTN7tJJmFolE8Hq9RCKRrNfH7GRLrhgcFHj+eYHSUomSX2Yj2WwSi4vw7LNmHn44qvxctiVf1/bf/q2Zf/kXI7W1IvKYE59P4JvfNHPnnXFOn05vr2jxFD5bvOfoe/i1tl9jenWakqISKouz68xmsrbbNRKQZ9uMj49jNBqV9s+2Uhvr8XXcVjcWkyWrNst2a8axliSKPvUpiMeRDAYEo3EzfSwex/R3f4fhox9FPHky6U9i7343sfvvxzAwAFYr4uHDFFL9y/tEM2u+hVxFlYxGI+Xl5UrdaWKaZm9vL/F4nLKyMkXcFBcX7+l5kE5kRm8AUBh0MaOTRKbRD7/fT1dXF263m/b29pwOwFJT+lQiqcTM2toaHo8Hq9VKZ2fnnltTZ2KPWhzPnWxZWVnh4sWLOJ3OnO8bmVyKvNFRgVBIoKws+bM6HBIrKwauXDFw5Mib753P0+wf/ciIxSKROK/R7ZaYnDTw8svGtMWMlshFxMBsNNNS1pLV19xKpjYnNhJoaGhAFEUCgQCzC7M89cpT/HT+p4QJU15cznuOvIcPnPkARabs3X/Ucp9JB+HKFQwTE5tF/InrbDBAPI7x5ZevETMAWCyIp07lzc7dkO9fWoqGJZJKDGSLrWma6+vriuAfHR3FbDYrKZputzvtZ7JeM6NedDGjk4QcmUnlDCSmTB05coTGxsac32DVOGcGdhcz8/Pz9PT00NjYSFtbW15u5GqKYMkRiMT9dOXKFXp7e7PWijpTW3JBZaWE2SyxsQGJB3MbGwJFRRIVFde+b74cwUhEYOu221LPrLMFSYKeHgOvvmpkfl6gsVHk/Pk4bW25+c6ytRcMBgMul4uvDXyNH/p/SJG1iBJKWAwt8mc//zNGJ0d5+NjDWWskoKU0M0n+rIkF/cr/lJA04ITqaWaZIwgCDocDh8NBU1MT8XicQCCA3+9namqKvr4+HA5HUkraToIlVTczfc5M4dDFjIopRJqZfKPZrZ96NBqlp6eHlZUVbr31VsrKyvJmm1qc9ES2s0uSJIaGhpiamuKmm26ipqYmb/aoaZ6K7OjIgmZoaIjLly9nrV13prbkal3OnJE4eVLi4kUDgrAZBVlbg2BQ4D3viVFenvy++XQA77wzzjPPmInFJKXGeW0NzGaJM2fSu5604rBmixdfNPLss2aCQbDbJQYGTPziF0YefTSa00hWNtb5yuoV/n7k73EUOSi3babduB1u5tfmeSP8Bg9bH1bmeOy3kYCWxAxuN7F77sH005++KWgkCWIxsFqJveMdhbYwJVqPzKiheYGchul2bw67jUQiSkpaX18fsVgsKSUtsQZtt8iSJEl6zUwB0cWMThLyw2wn0bCysoLX66W4uDgvKVNbbdNCmlkkEqGrq4uNjY2c1hCla08hkW/8kUiEnp4eZU0KccPPpZgxGODP/izG7/2eid5eAz4fWK1wzz1R/vAPI3m1ZSsPPRTl5ZeNjI4aKCqSiMdBkgTuuy/G7ber73oqNGtr8P3vGwGJY8c2vyNJkhgeNvC975k4eTKytfHVvpH3Qjac1PHAOOuRdepKkpuwOK1O/Bt+hDKB9rb2HRsJyPU26TQS0JSYAcL/5b9g/Nf/GmFm5s0fmkxsfPGLkKU5X7lErlHS0ponkklr5nxRVFRETU0NNTU1iiCRxc3Y2Bgmk0kR+6kiM3rNTOHQxYxOEomRma3Ik+pbWlpoaWnJ+w1VTU56Iol2ybNSnE4nHR0deakF2c2eQiPvkX/5l3+hpKSkYGuSaEuuaG6G556L8frrAvPzAgcORDl8OILJtP3DL19ipq5O4s//fINvf9vEK68YKS6WuPfeOL/6q7GMnHK1RPtyzfS0gYUFA83NiTVOUFsrMjNjYGFBoK4uu2uRzbV1W90UmYrYiG3gKHrzIGUjtkGRoQi3dfNEOrGRAJDkxE1MTCSdYO9UV6A1MSM1N7P+yivM/tf/SvXsLNamJqK/+ZtIra2FNi0ttDwwE9QRmdkNQRCw2+3Y7XZlmK2cknb58mUkSaK7u1vpHFhWVpYkbnQxUzh0MaOThCAI10RA4vE4fX19LC4u5qV97k6ovQGALPbyXQuyFTV1M1tYWACgpqaGw4cPF/RBnI91MRjg9tslQCIWk9hpLFK+16G2VuLxx6MFbRGdb/a6xiaThNG4mX2U6L/HYmA0XjOOJKtkY18cLT/KqcpTvHrlVQyCAZvJRjAaxL/h50LLhWsiNjLbNRLw+XxKXYHc6ra8vFyZvq41MQNAaSmX778f44EDVFVVFdqajFC7GEiF1uyXa9BcLhfNzc387Gc/o6mpiUAgwMDAAOPj4zz99NO89a1v5d5772V9fV1PMysQ2tlVNyCFekgkiob19XVee+011tfX6ezsLJiQAfU2ABAEgZmZGQYHB2lvby9I1CoRNXQzk+tj+vv7AXI2CDMTCv3+Wyn0d5QJalu7XNLcLNHcLDI5aVAaJMRicOWKgaNH41RWZv97y+ZeEASBJ+98kvbqdpY2lpgITBCIBOis7+QTt38irdeQnbjW1lbOnTvH+fPnaWhoYGNjg56eHl566SW6u7sJh8OqHGScCk2KMDTWCnsbtCZmEpF9ourqao4dO0ZnZydvectbePvb387rr7/Ou971LiwWC0888QTPPPMMM4mpjCl48cUXuf/++6mrq0MQBL7zne+k/JtwOMwnP/lJDhw4gMVi4dChQ/zFX/zFnj+f1tEjMzrXIIsGuRNXQ0MDhw8fLvhNSE3pUzKhUIjl5WWMRiOdnZ2qmP5b6HWKRqN0dXURDAa57bbb+Od//mdVOO75jFhJksT4+Djr6+tUVFRcM5Fai46UltjPfjOb4X3vi/H1r5sYGDAoja9aW0UefDCGIMBaZI3xwDg2k41DZYey9n1m63UaShr4i3f+Bb+Y+wVza3M0ljZyS/Ute379oqKipFa3a2tr+Hw+lpaWGBkZYWZmRkm92UsjgXyjVVGg5TQzuUuqFtcd3hQzsv2CINDU1MQnPvEJPvGJTzA7O8upU6doa2vjz//8z/nABz7A0aNHuffee3nb297GW9/61h2jNuvr65w6dYpHHnmEBx98MC17fuM3foP5+XmefvppWltbWVhYIBaLZefDahBdzOhcg8FgYGJiAp/Px8mTJ/PaiWs31JZm5vP56Orqwmw2U1tbqwohA4VNM1tbW+PixYvY7XY6OjoUB14NIjRfTkAsFqOrq4v19XXcbjfj4+P09vZSWlqqOHygrcgMaM/e/XD4sMgnPhGhq8tIICBQUSFx6lSckhKJbw/+X/7y0l/iC/kwG8wcrzzOv7v13+1rBk0u1tZkMHFb3W1Zf93E6etXr16lvr4ek8mE3+9neHiYjY2NpG5QDodDdQ64VkWBliMb10NbaaPRuOO+icVibGxs8NnPfhaTycTS0hI//elP+fGPf8zjjz/OY489xr//9/9+27+9cOECFy5cSNuWf/zHf+RnP/sZY2NjyvOkubk54890PaGLGRVTiJvtxsYG4XAYURQL1nVqJ4xG4zUzSwpB4oydo0ePEggECmbLdhQqzWx+fp7u7m6am5tpbW1VviM1pL1BfkReMBjk4sWLWCwWbr31VmBz325sbChD2yYnJ5Wfz83NUV5enhS10VEH5eVwzz3Jhyc/mXieL/78ixgwUG2vJhKP8PqV1/nUS5/ia2//Gnbz/u6XWnOwJUnKSiOBfFPoZ8heuR7EjNqjdjuRauBnMBjEZrMpv+NyuXjwwQeVSEs2oybf+973OHv2LJ///Of55je/id1u54EHHuDTn/60ag5V840uZnQU5EiDwWCgra1NVUIG3jzRKWR7x1gsxqVLl1heXubcuXM4nU5WV1dVEXmQyXeamSRJjIyMMDExse1MHbXMvcm1HT6fD6/XS319PYcPH0YURRYWYszPG6iutlFXV0ddXR2iKDI+Ps78/LxSXJ0YtSktLdWko3Uj8J2h7xCNRznkOgSA1WTFZrIxujTKy9Mvc1/LfXt6XTVcH3thO1GwXSOBxAGFciMBeUBhIZxzrYoCLadpXQ8zclINzLTZbDt+vmx28RwbG+Pll1/GarXy3HPPcfXqVR577DH8fv8NWzejixkdJElibGyMsbExjh49yuzsrCofroltowshZtbW1vB4PFgslqQZO4WuUdlKPtPMotEo3d3drK+vc/vtt1NSUlJQe3YjV2JGkiSmpqYYGhri2LFjvyyUhqeeMvLccxaCQQNWq8SFCzE+9rEIdruB4uJirFYr7e3thMNhJWozPT2NIAiKs1deXq6Kk2wtOiDZtlmSJCYDk5QUJe9xs3Ezqja3Prev1wbtrXOqCEdiN6hDhw4pAwp9Ph+XLl1CFEVcLpey1/N1qqzlyIwW7YY3BaRW7U83MpMP5H3w7LPP4nQ6AfjCF77Au9/9br7yla/ckNEZXczc4MjDDNfW1pRIw+LioqpqU2RSDfTMJXIzhMbGRtra2pJuagaDQVUdffKV1iWLO5vNllQfUyh7UpELMSOKIn19fSwsLHD27FlcLhcAX/iCkWeeMVBcLFFWJhIMCvzN35jZ2IDPfjaSZIvFYlGKq0VRZHV1FZ/Pp7T6Likpoby8nPLyckpKSgp2MquG77CQCIJAU2kT3nkvVfY3W/pG45vXfrW9et+vrzUyFQVbBxTKjQQWFhYYHh7GarUqwqasrCxnM6m0LGa0GplJJQbUTjqRmXQGzWaD2tpa6uvrFSEDcOzYMSRJ4vLly7S1teXcBrWhixkVk+uLIhAI4PV6KSkpobOzU3FG1VZoLyMIQt5P+eUWw1NTU9umUIH6IjP5sGdhYYHu7m4aGxtTzo+5XtPMIpEIHo+HeDxOR0eHchq2uAjf+Y4Bu13C7ZYQBLBaJQwG+MlPTHz4w1Eslu3Xy2Aw4HQ6cTqdtLS0EIlE8Pl8+P1+uru7kSRJcfbcjp9/NwAAIABJREFUbjcWiyVrn+d6Ilf77VcP/yqXrl7i8uplKm2VRMQIs2uztLpaOd9wfs+vq4br4/+zd97Rbd1Xnv+8h0oAJMBeRFJik0Q1q9qkNElc5LGdOJPmsbOe4iQ7iZNNMrMns87GO9n0THJO2mZn4znJZDJO9WScmZSJY1uObUWyHce2WESRYhVFUqwiwI7+3ts/4AeBFAsAojxI+J7jcyySeLj44ZX7/X3v/d54sBlSEGkksG3bNoLBILOzszidzrCRgN1uD5/riTQSyNRyrUwmM5kcO2xMxjweT8oUkWPHjvH444+zuLiIzRYajNvb24soilRWVqYkBq0hS2auQyiKwsjICD09PasOeNTqPBfgqoGeyYTf76e9vR2v10tzc3P4prESWiMzySQPiqIwMDDA4OAge/bsoby8PKp4tLA+iVyX+fl5WlpacDgc7N27d9mO3eiowNJSqIE8EjabwsSEyKVLInV10SWwKy1x5+fncblcjI6Ocv78eWw2WzjZS1f/wfWE27fdzqx3lse6HmN8aRyDaOBw+WE+duRj2Iyr3x+iRSYqBYm8z+j1eoqKisKzzDweT5jIJ9pIIFPLtTKVhMG1QWY2UmYsFktcx15cXKS/vz/878HBQdra2igoKKC6upqHH36Y0dFRfvCDHwBw//338/nPf573vve9fPazn2V6epqHHnqI973vfddliRlkycx1h2AwSFdXF9PT0xw6dChs6xeJVBKGWJEq4jA3N0drayt2u53m5uZ1yx20RmbUsq5El1IEg0E6OjqYn59fsz9mvXjSjUStxcTEBB0dHdTW1q46ILWkRMFsBrcbIqoAcLvBZFIoKYkvkRIEIaza1NTUhPsPXC5XuP8gUrUxm82b/ajL3juL0Drc23gvd9XdxYXZC1j0Furz6ze9Plq4PuJBMpPrnJwcKisrrzISGBkZ2ZSRgBYcMeNFppIwSK9xTyIQTZlZvGTmtdde45Zbbgn/+2Mf+xgADzzwAI8++ijj4+MMDw+Hf2+z2XjmmWf46Ec/yuHDhyksLOTee+/lC1/4Qlzvfy0gS2auIywuLtLW1obBYODo0aNrJjvXO5lRexVWU63SFVMsSIbr29LSUtj8oLm5OaZdUS0pM5uJI1KV2rdvH6Wlq/dIVFTA7bfL/Pu/i4BCbm6IyLhcIsePB6mvV7h8efMq0cr+A7XXZnx8nJ6eHiwWS5jYOByOTSedmZpwJwO5xlxuKLkhocfMxCQ1VaRgLSMBl8tFZ2cnkiSFjQQKCgrWTSrV8zgTVYJMVjcyOXaIzgAgXjJz8803r3t/ffTRR6/62c6dO3nmmWfier9rEVkyo2Ek8iExPj7OuXPnqK6uvqqBfSVEUcTv9yfsvROJZBIttZl7cnKSgwcPUriyTmgNaI3MqOdNopLPy5cv097eTmVlJdu3b4/5gaSlnpl4Easq9fDDEl4vPP+8wNiYgMmkcOutQT796SvXVSLXRBAE8vLyyMvLo6amhkAgwMzMDE6nk66urnCyp5Kb9UoRvF6YmhJwOBTy8hIWYhbrQAvXRzxIV9yrGQm4XK6ojAQy1TkOMpsQXOsGAB6PJ24yk8XmkSUz1zhkWaanp4fR0VFuuOEGSkpKNnyNlntmkkUcPB4PbW1tKIrC0aNHY6o71RqZiVRmNgNFURgcHGRgYIDdu3dTUVERdzzxJj2yDKdPCwwMCFRXK9xyi0K8YlO8yozH46GlpQW9Xh+1KmW3w9e/HqC7O8joqI7ycoWGBhk1f0p2ImUwGCgpKaGkpGSZa9Tk5CS9vb3k5OQsU21C1zw89pief/1XA06nQE4O3HVXkA9+UJsbGxsh05LVTIsXtOEKFmkksHXr1rCRgMvlWmYkoJIbtSIhExPrbM9M+hCNMqO12XzXE7Jk5hrGygQ92l0DrZeZJTo2dVhoSUkJjY2NMZdmXYtkZrXhoPEiXmVmfBze/W4D7e0CsgyCANu3K/z0pwFqa1MTx8zMDK2trZSWltLY2Bjzw7i2Vqa+fvXfpWpXezXXKLVEp7u7m0AgQH5+PqdO1fIv/1KCwSCQl6fg8Qj88IcGXC5461szL9HOJGSyMpNuMrMS6xkJDA0Nha/hqakpioqKNDHHKVpkMiHI5NghFP96vbOpnDOTxdXIkhkNYzMPienpadrb28NJWCwJupbJTCJVI0VRuHjxIv39/ezcuZOqqqq4jqM1MqOeN/HG5Ha7aWlpwWg0LhsOupl44onlgx/U094uoNeDTgeSBH19Ag88YODUqQCxXh6xkhm1d2rHjh1UV1fHGP3GsaQLer1+mWqztLTE2NgMP/tZDn6/G7vdjygacDiMGI0GTp7Uc+CAhR070hZyzMhEcqA1UhANtEhmVmKlkcD09DTnzp3j0qVLdHd3Z5QjYCY30Wc6mZEkad1nocfjobi4OIURZRGJLJm5xhDZpLxr1y62bNkS8zG0lpxHIlGxRSoPR44cweFwpD2mRCLe0i6VBFdUVLBjx46EPHziUUQGBuD0aRFRBHUzTK8HRYGODoGWFoFDh2I7ZrRxqKWZY2NjMfVOJSOWZEMQBGw2GyZTLoFADmVlMiaTnkAgwNLSEpIk43LlcumSEY/HkxHJayZCC+dCvEja+SBJ6F58EXFwELmiAunmm2GNwbzRQhRF8l5vBDty5AiBQCBuI4F0IJMJQSYTMYjOmjlbZpY+ZMmMxhFL0qPORfF4PDFZ566E1pWZzcamTq43mUwJUR60SmZiiSlSpYqXBK8XS6zJ2sSEgCTByq9Gp4NAAMbHBSDxZEa9hnw+H83NzUlNZrSUwDocITtpn08kN9cYviYWFyVychRsNg+9veMMDQ1RWFiY9Ant1yqCcpC2yTacHicVuRXsLtqNKISS00wkickit8LkJOb3vQ9dR0dIkhVF5Lo6PN/9LspadZtRQrU3FgRhTSOBy5cvLzMSKCgoID8/P+3ne6aTmUyNHbIGAFpH9kl0jWB2dpa2trbwXBTDJnawtExmNkscJicn6ejooKqqakNXt1TFlAzEUtolSRLnzp1jZmZm0/0xm41FxfbtCiZTiLhEPj+CwZBCs2tX7Ou9URyLi4u0tLRgs9loampKauKitcTVboc77gjyk5/oMRggLw88Hpia0rN/v8zu3X4aGvYgCMKyxmqHwxEu0bFarZr7XFrCpYVLfPn3X6Zrugu/5CdHn8Oh8kN8/KaPo1Myb8c6mfNaTB//OLq2NhSbLbSjEQgg9vVh/shH8PzmN7CJ+/ZaMa80EpAkiZmZGVwuF/39/VcZCdhstpSf71kDgPQhmdbMWWweWTKT4VAUheHhYXp7e2loaGDr1q2bvsFqnczEE5uiKPT19TE0NMTevXspKytLaExaIzPRqiEej4fW1lZ0Oh3Nzc2YTKa0xRKJ4mJ4z3skvv1tHV5viMAEg6Eysz/9UzluA4C1oNpPq9blqUhStKTMAPy3/+bH5RI4fVqH0xmyk96/X+Zzn/MxMRH6HgsLC8ON1W63O9xYfeHCBQwGQ1i10cIutpaIlazIfPUPX6V1spWq3Cpy9DksBhY5NXIKh8nBh3Z9SFPxxoJExy0MD6M7dQrFbL4izRoMKFYr4vnziK2tyIcOxX38aAmBTqe7ykjA5XLhdDrDRgKqalNYWJgSI4FMH5qZyWQmq8xoG1kyk8FQ+z5mZmY4fPgw+fn5CTmuFpNzFfEYAKilQ16vl+bmZmw2W0Jj0uJ6RROT0+mkra2N8vJydu7cmbQHTbz9IV/8okRODnz3uzrcbsjJgT//c4nPfS4+or2aMhNZXrdnzx7Ky8vjOnY8sWiNzOTmwpe/7KOnR+TiRYHCQoUDB2T0epiYuJp8WSwWLBYLVVVVSJIUtsMdGBjA4/Fgt9vD5OZ6V216Xb10TndSYavAYgglPLnGXIrMRbx46UX+dNufpjnC2JGseS3C9DSCJKGs3FgxGBCWlhAuX97U8eMlBDk5OWzZsoUtW7YgyzLz8/M4nc6wUYjNZgsTm2QZCWQyIZAkKe0bHJtBND0zic4tsogemXtmXSdYK+lZWFigra0Ns9nM0aNHE7qjrnVlJhbiMDc3R2tra7j8Lhk3Uy2SmfWSZUVRGBoaoq+vb1MubrHEEs/6GAzw2c9KfPzjEuPjAqWlCnG2gYXjiFwTSZLo7OzE6XQmpbxuo1i0CEGAnTtldu6M7XU6nS5MXBoaGpbZ4V68eHHZ7/Pz8zdVBhsNtEYU53xz+II+LNblO7c5hhxcXhdzvjnNnhNrIVlkRq6tRbFawe1e3vDv8aCYTMiNjZs6fiJK40RRxOFw4HA4qKurw+/3p8RIIJPJTCbHDtGVmWWtmdOHLJnJQIyNjdHZ2cm2bduor69P+MNEJTNadC4SRRG/P7ohfuqOWV1dHTU1NUn7LGoZlZbWay2CFZnAb9bFLZZYNpNcWq1QX7/55DSSzHi9XlpbWwFobm4OD9JLJbSWcCcSK+1wVdVmcHCQzs5O8vLywuQmHb0HqUZ1XjV5pjxcXhfFliv2rTPeGQrNhZRZyxgShpIaw4x3hhdGXuDc9DmsBis3lt/IkfIj6MT4+nWSRWZwOAi8970Y/+//RZmbA5MJ/H4ESSJw770oW7du6vAx9Z14vSFSZbez3rTelUYCS0tLOJ3OsJGAyWQK95ZtpgQz03tmMtnNbL34FUXB4/Fk3czSiCyZySBIkkR3dzcTExPs378/aZ7m6gWrxZtPNGVmsizT1dXF5ORk0qx1IxE5pFIr67UamVH7Y0RRTGkCr5WSKjWOubk5WlpaKCwsZPfu3Wn5zjIted9MvJG9BfX19Xi93mVDDHU6Xbg8p6CgIOmqTTpQbivnzpo7+Wn3T/FLfqwGK/P+eYJykHfueCdmXXKvxWn3NF/5w1c47zyPSWciKAc5PXKau+vv5i/3/GVc32/SyAzg/9u/RcnJwfjP/wxzc5Cbi/+//Bf8f/u3mz52VGVmS0sYfvIT9E8/DW43ypYtBO67D+m220CWEXt7EebmkMvLUaqriRx6pdqd22y2q4wEIksw1WsiNzc36jXM9sykDxspM9memfQiS2YyBG63m7a2NgRB4OjRo0mVM7WYnKvYqKTL4/HQ1taGoihJX6fImEBb67WSQLhcLtra2igpKWHXrl0pfajEW2aWjDjcbjevvPIK9fX1bNu2LW2JQaoJns8Hzz2n45VXdCgK3HijxC23hHqSUg2z2bys92Bubi7cVN3V1UVubm5YtYkl0dM6PnDgA9jNdp4YeIIF3wIVtgreseMdvK3hbczOzCb1cz49+DRd013sKNiBQRcii06Pk6cuPEXzlma2F2yP+ZjJJDPodAQ++lECH/gAwvQ0Sn4+RJsout3oXn0VvF7kfftQVvTBbaigKwrGr30N/VNPodhsKDk5iD09GL/8ZQJOJ+K5c+i6u8HrRcnLQzp2jMB738taF9NaRgIqmY8k+wUFBeuWjGcyIcjk2CE6A4CsMpM+ZMmMxiEIAlNTU3R0dCS9UVuFesFKkqS5XdL13MycTift7e2UlJTQ2NiYMmIRSWa0ApX0KYrCyMgIPT09SZlkH20s6VZmFEVhenqa+fl5Dh48mBRVU1FCpMFojM45NlVr4vPB5z9v5ORJPepb/va3ek6dCvLpT/ujJjTJiFcURfLz88PmJT6fL6zajIyMIAjCMtUmFY5RiYaaPBt1Rv5iz19w7857WfAvYDfZw8Qi2efCK2OvLHs/gAJzARNLE3Q7u7VHZlSYTCgxzLzS/f73GL/wBYTR0ZCJgN1O4P77CXzoQ2H1ZKNSLbGnB93p08ilpaHyMkDOz0e8cAHjV7+KUlqKvG0bWCwIMzPon3wSxeEgeP/9UcW4mpGAy+WKykggkwnBRsqGlqE+S9crM8taM6cXWTKjcQwMDNDX18fu3bupqKhIyXsKghC3BXKysVqZWaQjVSoa2ldCfZhrab1EUSQYDNLZ2cnU1FRC3e5iRbrLzILBIO3t7SwsLFBQUJAUIvPKKwJPPBFyAcvLU7j9doU//uO1yW0q1YaTJ3X87nd6ystl1I1DtxteeEHPs8/K3H13MGWxbASTyURFRQUVFRXLHKNGRkauUm3y8vLWXcd0KjqKovDkhSf5WffPGJofoiq3insb7+Wu2rsw6U2Y9FfvviczXp2oQ1ZWPx8F4nvfdG9QrIQwPo7xk59EuHwZpaICRa9HcDoxfPe7KFVVBN/6VmDjUi1hcBDB7UZZ8bxVjEbEoSGk/ftRLySloAC8XvQnTxJ8+9ujV49eR6SRQG1tLX6/n5mZGZxOZ9hIIHKWUyaTmUyPHVgzfo/Hg6IoWWUmjciSGY3D4XAkxU54I2jV0WxlmZlqTz07O5uyhvaVUMmflpQZWZYZHBzEaDRy9OjRtDS4q0hnmZnb7aalpQWTyURNTQ0zMzMJf4/f/17gm98M2UcXFChMTgp85zsC4+M6Hnhg7delKhk8c0aHJIXzL+BKzvXyyyJ3373xMdJBDFZzjFJVm/b2doBlqk0yZiTFi8fOP8Y3X/0mQTmI1WCl43IHXc4uZrwz/NnuP7vq75N9LjRXNPODcz/AF/SFidSkexK7yc7u4t1xHVNVnLRSBqh79lnEy5eRq6vD0qhSXIwwNIT+5z8Pk5kNy8zUZn+/P2Q+8DoEtzv0PyssFRWrFWFxEWFpCWWTO/NGo5HS0lJKS0tXNRJQ58qVlZVpYpZTLMhkMqPmQuuRGSBLZtKIzLkSrlMUFRURDKZ+51RrybmKSJK1uLhIa2srJpOJo0ePprUERQulVCpmZmaYm5sjNzeXG2+8Me19POlSZtQ5OhUVFezYsYNLly4l/D0kCX75SxGPB3buVD+jwuXLcPKkyK23CqxmvqSVBFCrCEgBXh1/lTn/HLuLdlOdV43RaKS8vJzy8nIURQmrNqOjo+HyHFW1See9a8G/wA87foggCGy1h778IooYXxznh+d+yFvr30qeKe+q1yXznLi95nY6pztpm2oDQgm9xWDhXTveRY29Jq5jasm9EUCcnkaBq2s8c3IQJibC/9woqZYOHkSuqUHs60PeujVUNzo/D35/qP9mcREiVG7B5QopQQneSFvNSOD06dOIohg2ElBdAWM1EkgHMp3MqJuWq2FpaQkga82cRmTJTBarQuvKzOTkJB0dHVRVVdHQ0JD2m6RWyN/IyAjd3d1YrVZKS0vTTmQg9URP3b3s7e2lsbGRyspKIDkK0ewsjIwIFBcv/3xFRdDZKTA8LLJ169rzflKBQ4cknnxSz+IiqAKvusnc1BT9eqQq3rNTZ3no+Ye4OHcxpGzorbxr57v4X83/K9zzIQgCdrsdu90eLs9Rp7N3dHQQCAQYHBzE6/VSUFCQUmVyYGYAp9dJcc7ycsYCcwFT7in6Z/o5WHZw2e+STQwcZgcPNT3EH8b+QJ+rjxxDDgdKD7CnaE/c76s1MiNv24YAKIHAlfk0ioKwtITU3Bz+uw3jNpvxP/wwxi99CXFwECQJJSeH4JvfjGK3oz95EsXjQbHZEJxOBFkm8Ja3LJ+JkwSo9/KamhosFssyI4Hh4eFwf1k0RgLpgJYMcmJFNM3/FotFU9fD9YYsmcliVWiVzAiCgNfr5ezZs+zdu5eysrJ0hwSkn8zIssz58+eZmJjg4MGDXLp0STNKUSrLzFRb7tX6hJKhEJnNoUoUn2/5z32+UG5jta7+fql86N18s8QLLwR5/nk9shzqgxYE+KM/CnLbbdrplwFY9C/y18/8NSMLIxSaCzHoDMz75vnRuR9RbivnA/s/sOrrVs75eOmll8jJyWF8fJyenh4sFktYtUnWdHYVVoMVvaDHL/sxcSWhDMgBDKIBi+HqUqRUXKtWg5Vbt97KrVtvTcjxtHJ/URG87TYMP/whYk8PSn5+qGfG5ULJzSXw7neH/y4aEibv3In3299Gd+YMzM2hbNsWGtbp8aCUlqL/3e8Q5udRKioIvPnNSMePJ/vjoSjKsn6ftYwEIpVKldg4HI60b/hlujITzcDMLJlJH7JkJotVke7kfDX4/X76+vqQJIljx46lvI9oPaRzvXw+H62trciyHLajHhsb00yykaoyM7/fT2trK5Ik0dzcfJXkn4w4rFZ4wxtk/u3fdNhsMrm5oVL7CxcEGhpkGhtl4OqHYCpL70wm+OQn/Rw7JoWtmY8cSZ8183p49uKzXFq4RImlBL0Yejw5zA6m3FM81vUYf3XDXyEK6ydEajlIWVkZBQUFBAIBnE4XbW1L/PKXU8A4e/fq2LXLRmFhQcJLQ+rz69lVtIvXJl7DrDNj0BkISAGmlqY4VH6IHQU71ow7k6A1ZYbcXLxf/zrG//N/0L3yCoLHg9zYSOADH0C+6abwn0U9eNJsRjp2bPnPLBaCf/7nBN/xDoTFxZBldIrKm9X7xWqxrzQSCAQCYaWyq6uLYDBIfn5+uMcsHYl3JpOZjZSZrJNZ+pElMxpHuh4WWlNm5ubmaG1txWKxoNPpNEVkIH1kZnZ2ltbW1qsGQGqJjKaizGx+fp6WlhYcDgd79+5d9cGTLAJxzz0yExMCr70mMDwcKtmvrVX44Acl1qv0SCXZNJngzjsl7rwzvms6VfehiaUJBIQwkVFh1plxeVx4gh6shuiabNWYRdHAc89t4dln9SwthUxDWlo8NDWNsXv3y1gsOWHVJhE72IIg8InmT/DwyYcZmB0I/7w+v55PNH9i1bVM9cbD5NIkc745co25lFnL4h6aqSkyAyhbt+L7xjcQLl8OqShbtoSa+SOQkMGTVitKipu9N3LUioTBYLjKSMDlcjE9Pc3AwABGozFMbFJhJKCqSplKZiRJiorMaO16uJ6QJTNZrAotkRnVf7+uro7i4mJefvnldId0FdJhZa2uS0NDA1u3bl12I023HXIkkh3LxMQEHR0d1NbWUltbu+YDJVlx5ObCxz8u0dUlMDYmkJursH+/gtms4Pev/prsQ2911DpC359P8mHSXWGC7oCbHYU7sOij2/2M/J5fe03kqaf0FBQor/cviUxM2Dh7dge33VZFUdE0TqeT8+fPEwgEyM/PD5ObeFWb+vx6Hr37UX43/DvGF8cpt5Xzxqo3YjOuvQmz0TkxtTTFaxOvsRRYYpt9G/tL9i+bGxMNPAEPT194mnPT51j0L2IxWGgsbOTOujvJNeZufIAIaJHMqFDWsV/XctzrYT1lZj1EGglUV1cjSRKzs7M4nc5lRgIquUmGkUAsREyL2IiIeTyebPN/mpElM1msCi2QGbX/YXJykgMHDlBUVITH40GSJM09kFKphMiyTHd3N+Pj4+F1SWc8GyFZPTOKojAwMMDg4CD79u2jtLR0wziSRap0Oti7V2Hv3ivHX+8jq+eu1s7j9ZAKcvym6jfRWNhIx+UOco25GHQGFnwL6EQd79v3vrjWqqUlZE1dWHgl/vJyhc5Oga4uI/fcU0JJScmqVrhms3mZahNLA7PVYOXNdW+O6m8j13YpsMSF2QuMLYxh1BnZZt/G2OIYj7Q8wuDsIEE5iFlv5ubqm3mo6aGYSMjJ4ZO8NPYSlbZKKnMrWfAv8OrEq+hEHe/c8c6oj6MiU87dSGSqQqDeQze75jqdLnxOA3i93qsG1aqEPlFGAmrsmWoAEI0yk7VlTi+yZCaLVZHuZNjj8dDW1oaiKOE+EDUu0F4SmKr1UvtCgsEgzc3Na9bpCoKQdjKqIhllZup8obm5OZqamsjN3TihS8f5stF7au08TjeMOiP/eMc/8vmXPs8LIy/gDrgptZby4IEHecf2d8R1zKWl1Y2mBGG5ccNKK9xgMMjMzAwul4uenh78fn94gGEy+g4EQWDBv8CzF59laG4Is95MUAlyZvwMJy6eYGR+JHQdCTDrneWn539KiaWEjxz+SFTHn/fN03G5gxJLCXZzaLJ9nimPLcoWzk+fZ7pqmiLL1RsjayEh5VppQKZec8lSN8xm8zIjgYWFhasszzdrJJAoIpYubGQAsLS0lFVm0owsmdE4rseeGafTSXt7OyUlJTQ2Ni7bEVH/f6ObS6qRCjKj9g05HA4OHTq0bp2zlubeJFqZ8Xg8tLS0oNfraW5ujnq+ULqGd66WPGXaQz2V8VbkVvCPd/wj44vjzPvm2Wrfilkfv7VyY6PCq69CMAjqJeP1hshMTc3a14her6e4uJji4mIURcHtduN0Opmenqa/vx+TyRQmNvn5+ZvadVav1V5nLxfnLlLnqAv3Db048iLdzm6MopH8nHx0og5JlphamuJHnT/iwQMPRlVu5g64cQfdlFmWO0BaDVamPdMsBZYoInoyk6mkIGoDAI0hFYqSKIrLLM9VIwGXy3WVkUBBQUHUfSIq8c3EdYforZmzSB+yZCaLVZEOMqMoChcvXqS/v5+dO3dSVVV11d+oN0OtlFCpSDaZGRsbo7Ozk7q6OmpqajZ8gKRbWYtEIonVzMwMra2tlJaW0tjYGNPDMR2J10YJn1YIZzRIdazltnLKbeWbPs7Ro0FeeUWku1vEbleQZVhcFDh0SOLAgejucYIgYLVasVqt4b6DmZkZnE4nvb29+Hy+ZapNPM3AgiBwYe4CdqN9mQGCV/Lik3zkGnPRiaGESifqsBgtuLwuRhZGqHXUbnh8u8mOw+RgxjtDjuHKLvKMd4ZcYy4Oc+xDHzORzGSyopRqMhCtkYD631obbJla2qdio83TLJlJP7JkJotVodPp8K0cnpFEqGVDs7OzHDlyBMca05TVh5BWSqhUJEsJkWWZ3t5eRkdH2b9/P8XrNLaujEcrZCZRvSqq4cGOHTuorq5GluHUKYFXXhExmeC222R27Vr7fdKlzKyGTEymMhX5+fDRjwY4eVLHa6+J6PVw440St9wSjNuaWqfTUVRUFO5XU1Ubl8vFhQsXMBgMy1Sbjdyiws3dgoisLD9H7SY7AgKSIi37+4AUINeYiyRHdy/MMeRwpOwITww8waWFS9hNdhZ8C8yr6qGSAAAgAElEQVT557h92+3YTfZYliCjlZlMjDvdhGAtIwH1nO/s7FzTSEBrlRSxIhpr5mzPTHqRJTMaR7puuqlMhhcXF2ltbcVkMnH06NF1y4YEQUCn02kmKVWRjPXy+/20t7fj8/loamqK6WapNTezzayNLMv09PQwNjbGwYMHKSwsxOeD//7f9Zw4IRIMgqLAt76l46//OsiHPiSz2mWjtTWBzFJmMgkrE9aiIoV77glyzz3JeT+LxYLFYqGqqmpVtyi73R4mN1ar9ar7uhpvQ0EDz118Dl/Qh0kfarwushRRmFPIgn8BQRDQC3p8kg9REGksbKQityLqOJu2NKHX6Xll7BXmvHNYjVbeUPUGmrY0xfyZM5UUZHKZmZbWO9JIoKGhAa/XG55ts9JIQKfTZeSaq4jGACDbM5NeZMlMFqsiVWVmk5OTdHR0UFVVRUNDQ1Q3PC2pDioSbc08Pz9Pa2sreXl5HDhwIOY5AFpao82oVoFAgLa2Nnw+3zLDgx//WOTJJ0Xy8hSs1hCZcbngm9/U09QU4ODBq99PS2RGhdbiyWJjjC+O88zgMwzPD1NiLeG2rbdRl18X/v1KtyiPxxNWbQYHBzEYDMtmfBhedycQBIGG/AbGFsboc/UhI6MoCjajjQf3P8jPen7GtGcaSZGwGWyUWkv5iz1/EfXcHQiVp91UcRMHSg+w6F/EarCGSVOsyFQyI8tyeM0zCelWZjaC2WymoqKCioqKq4wE5ufnEQSB/v5+CgoKsNvtGeVsJknSus9gj8ezoZtmFslFlsxkANKRhCWbzCiKQl9fH0NDQ+zdu5eysrKNX/Q60jHTZSMkkjyMj49z7ty5DeempCqezSLe83dxcZGWlhZsNhtNTU3LHia//KUIhIhM6D2goADGxuCpp0QOHrz6/NASmcm0JDDT4k0WOi938qnTn2J0YRRREJEUiV/2/pJPNH+CN1S9YdXX5OTkUFlZSWVlJbIsh1WbwcHBcGmOXq8nGAxi0pm4deutNBQ04HQ7MegMVNgqKLYUs690H88MPsPE0gTl1nJur7mdN1a9Ma7PYdQZKcgp2MxSZCyZSWjcLhdifz+IIvL27ZCXl5jjrgKtk5lIrDQSmJiYYGBggEAgsGyeU6xGAulCNGVmWhvkfb0hS2ayWBXJJAxq+ZTX66W5uTnmm8C1WmamKAq9vb2MjIxwww03UFJSEvextNYfEmssly9fpr29nerqahoaGq560C0sCKzcKBOEkELjdq8dRyoRzftphVxFg0yKNRlQFIVHWh9hdGGU+vx6RCGkOA7ODfKtM9/icNnhZY31q0EUxXACB1dmfFy6dAm3282LL74YVm2qiquWKQg3V9/Mm6reREAOYBANaU/+rmsyoyjonn0W/S9+geB0hn5UVkbw3nuRmpsTEOVqb5mZ5XEQOu9NJhONjY3LjATUUky1x6ygoGCZWqkVbNTzky0zSz+yZCaLVZEswqDaC9vtdpqbm2MunwJtqQ4qRFEkGAzG/fpAIEB7ezsej4empqZN7/JozZo52lgiHe12795NRcXq/QDHjsn09emQZQX1GePzgSjCgQOrv5fWCF664HQKnDsnYjYrHDggE6Wz9XWP4flhepw9lFnLEIXQSScIAltsWxhdHOXc9DmOlB+J6ZjqjA9ZlnG5XFRXV+N0OhkaGqKrq4vc3NxwyZraUG3UaeMLy1QykwiFQ+zqwvDYYyiqIqMoCCMj6H/wA+TycpRt2xITbAS01jMTCyLJwHpGApFqpUr68/Ly0v65s9bM2keWzGSxKpJRZqa6UUVrL7wWrrUys4WFBVpbW7HZbHETvETGk2hES6wkSaKzsxOn08mNN96I3b62u9J73iNx4oTI2JhATk7IbtfvFzh0SOauu1b/3OnY1VzrHE+HAYCiwPe+Z+D73zcwOyug0yls26bwd3/n4/BhbZwriUSiEyBZkVFYfWaQoihXuZDFClEUyc/PJz8/HwCfz4fT6VzWUK2qNgUFBVHPV0oWMpXMrBe3MD2N/l//Fd3p02AwIB0/TuCee2DF5pL4yiuwtISya9eV427bhq6zE11LC8EkkZlMVWbWi31lj5lqJOByuRgZGQEIE5vCwkJMpvh6vDaDrDWz9pElMxmATO+ZkWWZrq4uJicnOXDgQNjOdDOxaSVRVxEveZiYmKCjo4Nt27ZRX1+fsORAa/0hG8Xi9XppbW0FoLm5GbN5/SGJdXXwwx8G+fa3RU6eFDGb4U/+ROL975dY75mitfMmld/Rk0/q+Na3DOj1sGWLTDAI/f0iDz9s4ic/8VJcvL6t9fWO6rxqau21dE53YjPYwuf1+NI4pdZSdhftjvvYq50HJpNpWUP1/Px8mNisVG3SsXutlftLrFirXEtwOjE/+CDi+fMoBkOolKy1FfHFF/H9wz9AxD1JcLlgZVItCCg6HczPJyXua5XMrMRaRgJjY2P09PRgsVjCxCZVRgJZa2btI0tmslgVidrZV5NURVE4evRoQupKtaQ6qIi1rEs1QBgeHmbfvn0Jd0LR0hptVN41NzdHS0sLhYWF7N69O+qH0/btCl/7mgREP/hQC1AU6OjQ8dRT27hwwczNNwvU1yc/MfyP/zAgSbBlS+i99HqoqpIZGRE5cULHn/3Z+mWSmZS8JiNWnajj/fvfz+de/By9M72YdebQMEtTLn+1/6+wGTdXGrre+SmKIg6HA4fDQV1dHT6fL9xzcOnSJYBlqk0qdq8ztYdjrXIt/eOPI3Z1oVitCB4PAIrJhP6ll5CeeYbgW98a/lulthZeeQVkmXCd6+se8UplZVLiztT1hviJ2EojgUAgEB5WqxoJqMNqk2kkEI01c1aZSS+yZCaLVZEIZcbpdNLe3k5JSQmNjY0J20HRaplZtDEFAgHOnj3L0tJSQvpjVoOW+kPWI3pjY2N0dnZSX1/Ptm3bkko4tLAmkgR///dGfvELPbOzDRiNJr7zHXjwwQDve19g1fk4icLIiHDVkEidDgRB4fLlzEySUo0bK27kG7d9g98M/IaB2QG22LZwR+0d7C/dv6njxkq+TCYT5eXllJeXoyhKWLVRS3ltNtsy1SYZSfC1VmamO3UKFhYQZ2ZCOw68TjBFEfHllyGCzEjNzehefDGk4pSWgiwjTE0hb9+OdPhwUuLO5J6ZjZSNaGEwGCgpKaGkpARFUcLDaiONBFazPd8s1iszUxQFj8eTVWbSjCyZyQCk4wa2GTIT2cS9c+dOqqqqEh5bupPSlYhWCVHthq1WK83NzUlzbdG6AUCkc9v+/fspLi5OSxypxm9+o+fxxw1YrQrFxW5yc/XMzOh45BEDN9wgJbV3Zft2mZMn9RQVKWHSFAgACFRVaet60jIaChr4m4K/SegxN0MMBEFYtnvt9/vDqk1HRweKooSHFyay5yDd11K8WGuthZkZBI8HxWIJsXwASUJYWkIcHV1+jLIy/B/+MPonnkDs6gJBQDp+PKTeOBxJift6KTOLFoIgYLVasVqtaxoJqKWYmzUSyBoAaB9ZMpPFqtDpdKGm1hhvQsFgkHPnzjE7O8uRI0dwJOHGrqUSKhXRxDQ1NcXZs2fXtBtOdTypwkpFJBgM0t7enlRlaq04IL07yk8+qUOSwOFQmJ0VEITQdPqhIZHf/lbP4cP+pL33u98d5NVXdVy6JFBYqBAMhpzN6upkjh+P34kvC23BaDRSVlZGWVkZiqJc1XNgtVqX9RzEm2RmqjKz1jNNsdnCikzEH4d6YRQFsb0d3alTIQWmoQHpttsIfPjDsLAQKjVL8n0sS2bWRyxGAgUFBRv2ZUYiGmvmrDKTXmTJTBarQr1wY7kJLS4u0traislk4ujRo0lz20n2QM94sB55UBSFgYEBBgcHYx4Qmox4Ug1VJVLl+JaWFkwmU1KVqdWgBTIzNyeg1y9PmAQh9N/8fHJjOnZM4lOf8vHtbxsZGxPQ6eCP/kjioYf8rGMc93qMmZe0ZlLMyTonBUEgLy+PvLw8ampqCAQCYdWms7MTSZKWqTaxJHiZSmbWiluurUV5+WUEv/8KqRFFlLw8BK8X06c/DYuLYDSie+kl9M8+i//v/i5kzZyiuDOZzCTCpTMWRBoJqKWYLpfrKiOBgoICHA7HmsqLuqm71u9lWc4qMxpAlsxksSrUC1eSpKhuQpOTk3R0dFBVVUVDQ0NSb7paStRVrBVTMBjk7NmzLCws0NTURG5ubkri0UJJlQo1cVB7qCoqKtixY0fKH8xaSLwOHZJpadEhSVe+m0AgRGb27Us+QX/zmyWOH/cwNCRgNkNl5ZWSs42glfMpi/hhMBgoLS2ltLQURVFYXFzE6XQyMTFBb2/vMqcoh8Ox7jWayWRmtc8lHzuG8vzzyCYTgtsdUmSsVoTFRYTJSRS7HWXnztf/WEbs6UH/4x/j/8xnSGqzmxpfBvfMSJKUVivxyFJMldSrRgLd3d1hIwH13I80ElCf62uRGc/rZhGpqjDIYnVkyUwGIB03MFEUEQRhQwVEdeUaGhpKqeqQCcrM0tISLS0tmM1mmpubU3oz1yLha2lpYdeuXVQmye1nI0Q+nNK1w/mnfxrg6ad1DA+LiKIRn0/A4xHZvVvmrrtSU+plNEJDQ5aYaAnpIAaCIJCbm0tubi7btm1b1SkqUrVZ6USZqWRmLVIQPH4c3fPPo3vxxZDVHyB4PMj19QhTUyiRA3xFEaWkBF1nJ4LLhfJ6aVOy406FDXEyoLXYVzMSUBXLCxcuLDMSUEnKWs8Mt9sNkFVm0owsmcliTWxUzuX3+2lvb8fr9dLc3JyynQmdToffn7zegniw0pRA7Y+pqqpi+/btKX/oR5Z2pTPhkGWZ3t5eAA4ePLjpGUObQaoJjCzLTExMhKddC4JAVZXCI494+ed/NvKb38hYrQr33BPgr/4qsGGpVzqRaUlrJqpI6V7jlQne0tISTqeTqakp+vr6yMnJWabapPveEi/WjNtiwffFL6J/8kl0L70EioJ07BiKw4Hxy1++up8GQupNitZAluWUluUmElru94k0EqiqqkKSJObm5nA6nQwODrK0tATA0NDQqjOd3G43giDEVKKZReKRJTNZrIn1dvfn5uZobW3FbrcnbGp9IuJKF9SYFEXhwoULXLhwgT179lBeXp6WeLTQH+L3+2ltbSUYDCkOdo1k66k4d/x+Py0tLXi9Xvx+PwaDIbzDvXVrPn//9wp33PEi+/fvx25PTelhFtpFssmXJ+DhzMQZBucGMevN7C/dT71j7SG9giCESfjWrVsJBoNXleWYTCYMBgNut5ucnJyMITbr9p5YLATf9S6C73rXlZ/NzaGUliJeuoS8dWuopEySECYnkW65BfLzUxZ3pqzxSmiZzKyETqcL99IAuFwu2tvbcbvd4ZlOs7OzXLx4kbvvvhufz5e0+TZZRI8smcliTaylzKizDOrq6qipqUmL6qDFMjNJkmhra2N+fp6bbrqJvLy8tMYD6XuILCwscObMGRwOBwcOHOC5555LOwFN1TosLCzQ0tKC3W5n3759AOE5IP39/Xi93td3tiV8Pg+QGWQmE9WOTEKy7qNzvjn+4bV/oHUyNLxYRubX/b/m3Y3v5q66u6I6hl6vp7i4mOLi4nBZTm9vL263mz/84Q+YTKYwWc/Pz9dUSdFKxNx7YrcTeM97MP7jP6I7fx5FrwdJQq6pIfBnf5aSfhnILEKwEpkcu8FgQK/Xs2fPnrCRwFNPPcVjjz3Gpz71KbZs2YLD4eDEiRO86U1vimkw+KlTp/jKV77CmTNnGB8f5+c//zlvf/vbo3rtiy++yJve9Cb27NlDW1tbvB/vmkGWzGQA0sX4V5IZWZY5f/48ExMTHDhwIG0lQ1qcM+P1epEkiUAgkPL+mNWwsnkxlZiYmKCjo4Pa2lpqa2vDP9dKMpzMNbl8+TLt7e1s3bqVuro6gsEgiqKEd/oaGhrCg95mZ2fp7OxkYGAgnAiu56qTxbWLZF4bJwZP8Nr4a9Tn12PWm1EUhdHFUR7vfpx9JfvYkrslpuOpZTm5ublYrVbq6urCqk1vby9+vx+73R4+p7W2ax2PwiEdP46vuhrd6dMITidyTQ3SzTejpGA+lopMJgQbWRtrGZGxq0YC9913H/fddx/T09N85zvf4Z/+6Z948MEHmZqa4o1vfCN33HEHd9xxB7t27Vr3XFtaWuKGG27gve99L++KVAM3wNzcHH/5l3/JbbfdxuTk5KY/47WALJnJYk1EKiBer5fW1tDO3tGjR2PafUhGXFoiM2oCC3D48GFN3LTVGFJJICItqPft20dpaemy36f7O4ssvUs0FEVhaGiIvr6+cHnhWu9jsViwWCwMDQ2xa9cuZFleVr6zXtN1FtFjo4R1KbDExOIEFoOFclt6ykEjkYyEX1EUXhp9iTxTHma9Ofw+W2xb6HJ20XG5I2YyE3lsQRDQ6XQUFRVRVFQUtl9Xp7JfuHABo9G4bCp7qi16V4tbvT+KZ86g/81vEEZHUerrCd59N7LqWLYC8vbtKbNhXg2Zbs2cqbFLkrTmBlNRURGHDh3iF7/4BV1dXfT09PD000/z9NNP88lPfpLCwkJ+9atfceDAgVVff9ddd3HXXdGpo5F48MEHuf/++9HpdPziF7+I+fXXIrJkJos1oSogqqVuSUkJjY2Nad851sqcGUVRuHjxIv39/TQ0NNDd3Z3ukMJItTKjDkudm5tb1YJaC1bRySIzsizT1dXF1NRUTINi1USwoKCAoqIitm/fflXTtcViCRObzQw43Cy0tLO+WSiKwrNDz3Ji8AQujwujzsjuot3c13gfRZb0qM3JvDaCUhBRWP28kZX47w+rJdeCIITJutpMPTs7i9PpZGBgAI/Hs0y1sVqtKT+31DIz/a9/jfEb34CFBRSzGeHMGXS//S3+z3wGqakppTFFg0y2Zs5kMrORE5s6Y0YQBHbu3MnOnTv5m7/5G7xeLy+88AL19fUJjedf/uVfGBgY4Ec/+hFf+MIXEnrsTEaWzGQA0nUDE0WRyclJpqen2blzJ1VVVWmJYyW0oMyoyfvs7Cw33ngjOTk5dHd3a+amLQgCgiCkZJ3UQZh6vX7NEjvVXS3dSDSp8vv9tLW1hcsLY1FSVsayWtP1ygGH6g53YWEhJpMpYZ9jPfh8sLCgI0qOpgms9x3/fvT3PNb1GCadiS25W/AGvbx06SUWA4t87MjHMOjS4xiVrKGZh8oP8fOen1NmLUMvhh75Lq8Lm9FGQ0FD3MeOplxr5VT2SNVmcHBwmQVuQUFBSlQbRVEQl5YwfPe7KH4/SkPDlZ9fuIDh299GOnIENFbuqZVnSzzQmjVzLNioRG5paWlVW2az2czx48cTGktfXx+f+MQnOH36dNoVTq0huxpZrIpgMMji4iKSJMW025wKpNsAwO1209raGk7eTSZTOJ50k6xIpIJAzMzM0NraSmlpKY2NjWve9LWgzCQ6jqWlJc6cOYPNZuPgwYNxPVzWi0Wv1y+zyl1cXGR6ejo8wdpqtVJUVLSqXWgi4PXCf/6nnuef1zM6WkdlpcC7363jj/5ISlXPc8KhKAonh08CUJUX2pwx682YdCa6nd10u7rZW7w3LXEla9Pqzpo7OXf5HN2ubix6CwE5gCAIvKXuLdQ74t81jifmnJwcKisrqaysXGaBe+HCBTo7O8nLywuTH9XOPJFQrzdDTw/C1BTylogSO0FALilBvHgR4eJFlLq6hL73ZpHpZCaTY49GmUk2JEni/vvv57Of/Szb01juqFVkyUwWV2FxcZG2tjYURaGqqkpTRAbSawDgdDppa2ujvLycnTt3Xqm9jnAP0wqSrWCprnY7duygurp63b9NlUq0ERJFZtTzoLKyMu45QrHEEjngsKamBr/fH1Ztzp49i6Io4SSwoKBg0wYUigLf+56BJ5/Uk5enYDQqDA6a+X//z4CiwBvfmP4yz3jgk3xcdl/GblpuE55jyCEoB5nxzKQpsuQp8GW2Mv5n0//kd8O/47zzPFaDlZsqbqKpomlT77lZAhZpgdvQ0IDH4wmf00NDQ+Hfq+d0ImasqPcgQacLuZCtvP4UJfRzDaoImU4IMjX2jZQZ1Zo82VhYWOC1116jtbWVj3zkIwDhcRB6vZ4TJ05w6623Jj0OrSJLZrJYhsnJSTo6OqiqqsLv92vyBpSOMrPIBu/GxsarptinsqwrWiRrnWRZpqenh7GxMQ4ePBguIdkoFi0oM4k4n4eHh+np6Vn1PIgFm0kEjUYjZWVllJWVhe1CnU4nIyMjnD9/ntzcXAoLCykqKoprh3toSOCFF3SUlSkUFChMTwcpLvYzOZnDr3+t59gxSYv53oYw6UwUW4oZmB2g2HLFicoT8KAX9eTnpGZmyEoke4ZIsaWYe3bek9BjJvp6zsnJYcuWLWzZsgVZlsOqzcWLF+nq6gqf04WFheTm5sa1XmrM0p49yJWViMPDyDU14dkx4uQk0uHDKFu3JvSzJQJZA4D0YD0DAAgpM1arNelx5OXl0dHRsexnjzzyCM899xw/+9nPqKmpSXoMWkaWzGQAUtEzoygKfX19DA0NsXfvXsrKyjh//rwmGu1XItVlZpIk0dnZidPpXLfkTgu9PJFIRmlXIBCgra0Nn89Hc3Nz1PK6VsrMIH71LJLEHTp0KDxUbTNIxJqodqF2u53a2lp8Pl+4L2F4eHhZ30K0fQmjoyILCwKVlcvXqrBQZnxcYHZWoLBQG99nLBAEgZurb6Z/pp+R+RGKLcV4g14uzV9iX+k+dhas7mSVbGjl2ogFySRgoiiSn59Pfn4+9fX1V53ToiguU22iVSLVdRYtFgJ//dcYv/hFxL4+EEVQFJTKSgIf/nDKZsfEgkw1AFDVg0wlMxsRMbfbHXeZ2eLiIv39/eF/Dw4O0tbWRkFBAdXV1Tz88MOMjo7ygx/8AFEU2bNnz7LXl5SUYDabr/r59YgsmckCv99Pe3s7Xq+X5uZmbDYbECoDCAQCaY7uaqSyzMzj8dDa2oooihw9enTdpmutkZlEx7O4uEhLSws2m42mpqaokmJJgh//WORb3zqM253H4cMiH/ygxE03pSd5i1chCgQCtLe34/F4YiJx6yFZiYnJZKKiooKKioplO9yDg4N0dnZG5SZlsykYDKG+mcgKCo9HICcHcnK0n3yvtb7NW5pxB92cGDzB6MIoRp2R5spm7mu8L23N/5B5jnGpTFBXntOqEjk8PExXVxd5eXlhcrNe/1i4zEwQkI4dw/vII+iffRZhchK5qgrp9ttRyspS8pliRaaqG+qaZ2LssLEysxky89prr3HLLbeE//2xj30MgAceeIBHH32U8fFxhoeH4zr29YYsmckQJGtne25ujtbWVux2O83NzcsS1HQ32q8FNSFNdmmGy+Wira1tw+b2yLiuVTKjztKprq6moaEh6nX/1Kd0fO97Ovz+PEwmkd/8RuTkSZHvfjfAbbelJyGO9Tpyu920tLRgNptpampKSO1+vLHEipU73JF9CaqblGoiEDm5fdcumYYGma4ukdpaGUWB+XmR2VmBO+4IkIJ+16RBEASObztO85ZmzcyZyVRlJh0QRRGHw4HD4aCurg6fzxc+py9dugSwzPUvUrVRYw7btG/bRuC//tfUf4g4kOlkJlPdzGRZXnfjzuPxkJ8fX3nqzTffvO519Oijj677+s985jN85jOfieu9rzVkycx1DLWBu66ujpqamqsS1HQ22q8H9YYuSVJS7AkVRWF4eJje3t6YLKm11jOTCAIcOUtn9+7dVFRURP3a/n6BH/5Qh8EAOTkBDAYjoghOJ3zpS3puvTWQ8mqOWNfE5XLR2tpKRUUFO3bsiCuZWIt0p2MnPrIvIXIGSF9fH16vd9nAzg99SOCRR4z094vMzFjIyxO57bYg73hHMOVxx4rI73jGO8PvR39P/0w/ecY8jpQfYVfRLqwGK3X52nGsykRlRgsxm0wmysvLKS8vR5ZlFhYWwsRG7R9TyY3BYAj3N2YaMrVUK1INy0RIkrRuGeNmlJksEocsmbkOIcsy58+fZ2JiggMHDlBUtPqgOK0Mp1wJdYcnGcRBkiS6urqYnp7m8OHDMe24aI38bVaZiewVuvHGG7Hb7Ru/KAIvvSTg80FBQWhWCSgIAlgs0NsrMDEB5SneEI+FzIyOjtLV1RWVW1uyY0kGVs4Acbvd4b6E/v5+zGYzDzxQxNRUGUNDLmprTbzhDWVabCdYE5NLk3z1D1+lx9WDTtAhyRInLp7g/l33c3f93ekOL4xMVWa0lqCKorisfyzS9a+joyPcvzE2NpbSWU3ChQuI3d0IgQDy1q3Ie/ZAjBtxmdwzI4piRsYO2rFmzmJ9ZMlMhiBRiY/X66W1tRVFUTh69Oi6loJaLjODxJMZdW0AmpubMZvNMcelJTKzGaVos2sBV3otQiFceZDJcqi/NkV5xDJEcx0pikJvby8jIyPrkv1EQEtJbOTk9mAwyOzsLNPT0xiNZ6mu9mE0WhgbkygsLIzrfEgHftX3K85Pn2dH0Q4MYqg8cHRhlJ91/4zDZYcps2mnPyLTkj0tkpmVWOn6Nzk5yfnz5xkbG6O7uxubzRZWbex2e1KUD91TT6H/yU8QJyZCJgN5eUjHjxN473shyutILavORGVmI2tjrSMaa+YsmUk/smTmOoLT6aS9vZ2SkhIaGxs3rGHVqjIjCELCiZY6/LG4uJjdu3fHdfPVGpmJt9l9bm6OlpYWCgsL2b17d9y1zrfdJmO3w9zcFWITDIZUmjvvlEmAGVjM2IjMBINBzp49y+LiIk1NTWEzjGTFolXo9XqKioooKipCURTa29uBkHV7b28vFoslrOokKwkcWxjjpdGX8Ek+dhft5oaSG2Jas4Ac4NXxVym0FIaJDEC5rZxuZzed052aITNaIrXRIhPITCQEQcBqtaLX6zl8+DCBQCCs2pw7dw5xfp5Ci4XcuvPqd68AACAASURBVDoKX3eJ2vR7Dg5i+Pa3EcbGEEQRRRAQFhbQ/+u/ItfXI91+e1THyeQm+kzt9VGhFWvmLNZHlsxcB4jse4ilB0RrZVORSCRxUOeG7Nixg6qqqrgf0FokM7HGMzY2RmdnJ/X19Wzbtm1TyUpBAXz5y0H+x//QMz+vRxBERBFqahQ+/en09F2sR2Y8Hg8tLS0YDAaampo2NXhyaQn+4z9ETpww4/FAU5PEO98ZpLJy+XtnQhIrCAJ6vZ7c3Fy2bt1KIBBgZmaG6elpOjs7kSRpWcN1Ikp3nuh/gm++9k1cHhcAZr2Z49uO83Dzw5j00R9/tfUVXlcJFbS19plEDCDzyAwsL9UyGAyUlpZSptejf/JJOHWKgNvNYn4+vceO4WlqCp/XDocjroRcd+oU4oULKMXFyOrGiN+PeOkS+v/8z6jJTNhSOgNJQaaTmY3KzLLKjDaQJTPXOILBIOfOnWN2dnbdGSmrQavKDCSGOMiyTFdXF1NTUwmZG6I1MhNLmVlkadX+/fspLi7e+EVR4J3vlNm3L8A3vzlGIODgxhutvPOdMjGchgnFWg/V2dnZsDK3a9euuB++o6Pw4x/r+P73RVwugcJCmfx8mZ/8xMDLL+v4yld8bNlyxVEpE8gMLE+0DQYDJSUllJSUoChKuOF6bGyMnp4ebDZbmNisZ5O7Fi7OXeQbr34Dd8BNjaMGAYF5/zxPDDxBY1Ej9zXeF9VxjDojh8oP8Z/9/0mxpRi9GHrcjS+Nk2/OZ1fhrnVfP+ebY943T4mlJCYCFQ8ykRhcEzH7/Ri/+EV0r76KUlyMrrCQnMuXKTpxgskdOxjLy6OrqwtJksjPzw+Tm2gnvosjI6E+mUiF12gEnQ5hZCTquDO5iX4jMqB1rFdmpihKtmdGI8iSmQxBPDexxcVF2traMBqNNDc3x7xjqtWeGdg80fJ6vbS1tSHLMs3NzVE/nNaD1shMtGVmwWCQ9vZ2lpaWklJaVV+v8MADo5SWBqmq2vw6bxYrv6Px8XHOnTtHQ0MDW7dujTthGBiA973PQG+vwOJiaA6f1ytiMEBDg0xfn8gvfqHnwx8OzW7KtMRkVZVDEMjLyyMvL4+ampplDdft7e0IgrBMtYnG1vr0yGlmvbPUOmrDa2Q32ZnzzfHkwJNRkRk11rc1vI1eVy89zh6MOiNBOUiOIYf7dt5HRe7qznxzvjm+2/Zdnht+Dl/QR7GlmHc3vps/afiTpH1nmUJqVyLTzuGVKoHuzBl0Z88i19SEa2EVux2xt5fi3/0O+5e+BJcu4R0eZmZ+nvFAgL6+PnJycpapNmsl63JREYpOF6qtVZ+/kgSShBLDhlG2zCx9iEaZSWY5chbRIUtmrlFMTk7S0dFBVVUVDQ0N8Unk12iZmboLv9mekETGlAxEE486Q8VkMtHc3Lxqsjk6Cs88I+LxwOHDCocPKzE7WmnFtjpSDVEUhf7+foaGhrjhhhsoKSnZ1LG/9S0dFy8KWK0KXq+A2Qx+v8LwsEBFhYDNpvDqqzrgyiDaTE1i18LKhuv5+Xmmp6cZHh7m/Pnz5OXlhYmNzWZbNRle9C+CcHWibBSNzPnmYoqn3FbO3x39O14YeYFeVy95pjxuqriJG0puWPXvFUXhS7//Es8PPU++OZ9cYy7ji+N8/dWvoxN1SXVAyzRicC0oM8LISIhcrNjMUhwOxJ4eDI88gu4Pf8C8sIAjJ4fqG27A+5734BIEnE4n3d3dBAKBZapN5C69fOwYyr//O4LTGVJkRBHB5wOLheAdd0Qdt1oel2nrDdeHAUAiNkOz2ByyZOYag6Io9PX1MTQ0xN69eynbxDRjLZeZxRubOntgs7vwq0FrZGYjAuF0Omlra1t3hsq//ZvIpz+tY2FBQBDAYIA3v1nma18LxuRGFq8ZQaKhkhlJkujo6GB2dpabbrqJ3NxcFAXa2gROnRLxemHfPoVbbpGjMhwKBOD550VsNoXg6+1AihJaL69XwOkUAAWr9coaZGJiEgsEQQjb5KrDDVXr56GhoWXW0AUFBeGZUTsLd6ITdHgCHnIMr++WKwqLgUWO1xyPOY7CnELetv1tUf3tuelz/GHsD5Rby8kz5QGQa8zl4txFHu9+nLtq70Inrr/54ffDxISA3w/5+VBYuPF5r4VrI1ZkKpmJvM8pDkeocyoYXG6VvLSEoCjon34apbQUpawMFhfRv/ACZqD4oYcoLi5GUZSwpfn09HTY0lw9p/O3b0e8/370v/oVwtwcyDJKYSFSczPSrbfGHXcm4VpXZrIGANpAlsxcQ/D7/bS3t+PxeGhubt609KkqM1p8aMVKHGRZpru7m/HxcQ4ePBierZHOmJKNtQhE5FDQxsZGKisrV319f7/A//7ferxehZKSkBqztAS//KXIvn0iH/hA9J81mf0h09Nw4oTI+LhAebnCH/+xzFpuyoIg4Pf7eeWVVxAEIVx+qSjwne+I/PM/61hcDFlH63TQ1CTy1a8GyctbPwZBCP2nKJCbGxoMGpkfeb1gMAjceutyAp6JSWy8MJlMVFRUUFFRgSzLzM3N4XQ6GRwcpLOzE7vdTlFREfvz93O47DC/H/s9NoMNvahnzjdHqbU06n6ZeDEyP4I36KXStvyacJgcTCxNMOubpTBn7XvH5KTACy+IjI+LyHJoplJjo8RNN8kbjhXR2j12I2jxuXAV1Ovr9ThXzmqRbroJpaoKob8fTCaEmRkEtxtFFFHKylAKC1HUm4ndjgzo2tsJXryI8vqgaavVitVqpbq6Omxp7nQ66e3txe/3k79nD1scDgqHhzHKMvLu3UhHjoSYbpTI1BkzkPlkZj1lRpZlvF5vtmdGA8iSmQzBRjeyubk5WltbsdvtHD16NLzLuRmoF7AkSQk5XiIRC3Hw+Xy0tbURDAZpbm5O2o1Hi2RmZTyRpgcbDQV94gmRpSUoLQ3nAths4HYrPP64LmYyk4y16egQ+Nu/1XPp0pWfff/7Or72tSB79lxNFCRJor+/n5KSkmUlhl1dAt/7ng5RhLq60Of1eODFFwV++lOR979//dj1+pAV9b/9m468PIWiIoXpaYGlpdDCCQIcPx7kLW+54uKWaQYAiYxVFEXy8/PJz8+nvr4ej8cTVm0uXLjA23PeTkl5CS/PvIwkSNxZeyd/vvvP2V6wPWExrIZ8cz56UY9P8mHWX5Hk3EE3dpMdm2HtDSK/H06fDhGZbdtC5GV+Hs6c0WG3w549a59DmXIeRELLZEZsb0f/05+iO3sWJS+P4FveQvBd77o6Zrsd/8c+hvn970c8fz60AyGKIRYaDCLX1i4/sM0G4+MIs7OreuGttDR3u924XC4uGQycy8/HaDSGVJtgkPxgMOrnaiYTgkyPXVGUNZWZpaUl4P+zd+bhjdXnvf+co82yJcuS93VmPOPZPPtqD4EmEAYmWykEmjYkKSSFtKFb7m0Tbu7TJM1SctsktEmb0g2ShkCaBJpAkyEECgwJBBh7No+X8Xgf7/Iytnad87t/iKORd3mRdDTo8zw8jC1Z59XR7xy939+7kamZ0QH68lAzrAgtdWrjxo1seHO3aC3QLmA9Oega8aaZaSLP6XSyY8eOhHZV0ZuYmS0ggsEgjY2NKIoSV9ODiQntdWb+3mSKRB6Wa8taO2yqCl/6koHeXli3LhJJURTo7o78/tFHw8R+hw4NDXH58mWKiorYuXPnjOvk5ZcjRfvV1Vfer9Uaqdk9fnxpMQNw330KDQ0yFy9GUvKyssBiEVxzTZg/+qMQBw6oxC4/vTqCqcBqtVJRUUFFRQWKojAxMcE69zreOfJO/EE/+Y58bD7bstqgruT87i/ZT42zhqbRJirtlViNVsb943hCHn5n++8s2tWsv19icPCKkAHIzYXpaUFrq8T27bCYT5du60GvYkY+dQrL/fcjud2IvDykS5cwf+MbyG1tiI9/fI7N0vg40tQUwmSKXPBGIygK8ugo4vx51GuvnfFc7HZEcfGSdsRGbSorK6Pr2u12097ejt/vJy8vL1prk5OTs+D5THdBkM62Awv6DT6fDyATmdEBGTGTxqiqSnNzM4ODgwmZVB4bmdEb8QiHS5cucf78+TWZmRKvTXo6V7H2TE1NcfLkSfLy8ti5c2dcom7XrkhqWTAYqV2FSNaGzydx9OjyRFsiamaamyVaWyWKi4mKBIMBioqgtVWipUVi+/bI5OzOzk4uXryI3W6noKBgzloIBq9EUGKJNCKKb92sWwePPx7iiSdkTp6UcToFN90Uor4+iMGwcGvPDDOJraWpqamJRm20mgSr1Rp9fKXzPxbCbDDzmSOf4YFXHqBtvI1AOIDdYuc3a36TD9Z+cNG/DQYlVJU56WRZWZFrRlUXFjPpuA70KmZMjz6K5Haj1tREL2gxOYnxxRcxXXst8qwUY8PPfgaXLyOczshODUR2Svx+5J4eRG8vwulEmp5GcrsJv+tdiLL5O+EtRuy6BqJRGy3V0mQyRYVNbA0ZpH/NTLq2Zta+Pxc6916vF1mW12S2VobVkREzacLsLw2/309jYyNCCI4cOZKQbhqSJOm2CcBiwkFVVVpbW+nv70+IyFvMplAotPQTk4Rmz9DQEGfOnKG6uprq6uq4HZCbb1bZtUvl1CmZrCyBwQAej0RenuCee5a3JhKRZub3R3yO2d+Tb26svvm4yrlz53C73Rw6dIj29vZ5Hcc9e1TMZpmpqUjNC0Rew+OBa6+N3+7CQrj3XhWI/E0opLDQ5aNHR1BvSJJEdnY22dnZVFZWEg6HGR8fx+1209zcTDgcxul0Rp1EbWr7asTBRudGvnXztzgzfIbJwCTrHevZkLdhyb8zZk/R5x3F2yuxs2I98puf79iYxLZti9fM6FUYLIYubQ4EkJuaEC7XzJ2J3FwYGcF88SJSQQHSyAjSmyJFHhmJ3EhiOznKMphMCJsNkZsb6UaWnU3o9tsJ33bbmpiqrWstGqnVkHV0dERryDRxoyiK/s51nKR7ZEaSpAXt14r/0/WzuZrIiJk0RJvhoA34S3TqlB7FzEJto4PBIKdOnSIYDCa0PmY+9JZmBpE0u4GBAXbt2kVxHKkRsVit8MgjYR580MBPfiITCsFv/IbKn/6pwt69y3MWE5FmtnWroLAQRkYgtofB6GhEVGzYEOD116+k1WVlZS0YIaqvF9xwg8ozz8iMjUUEkc8XqZ/53d9NzPpPt5oZPWA0GiksLIx2kvJ4PLjdboaGhmhrayM7O5v8/HyEEKu6Fo2ykX0l++J+/jfe+AZf+OUX8V86BK/vx5Vn5qP7PkieugmbTbB9u77uC2uBLsWM0RgJhWk5shpvrgXFYKD8hz8k69SpSGpZpH96RPjEzoIJh0EI1K1bCfzN30RS1hwOluwEskIMBgMulwuXyxWNRmpRm+7u7uh5HhoawuVyxTWvSS+ks5hRFGVR/8rj8WC1WvV3HbwFyYiZNEIIQVdXF+3t7WzdupWKioqEX0R6nTUzn3C4fPkyDQ0NOBwO9u3bl/SmBXoSM+FwmKGhIXw+H3V1ddi1cMMyKSyEL31J4XOfUwiH54xjiJtEpJnl5MA99yg88ICBzs5Iza7XG7Hxwx+e5syZV3E4HHPS6uazw2iMvM8DBwTHj0caH9TXC+64Q2GBZm9xsdT1mS5iBvRnqyRJ2Gw2bDYb69atIxQKRR1AgJMnT0YjNvn5+Zi1XMk15j+b/5PPvPSZyA9VvwTLJGPu7fzda9/kH2/7S67Zn0tZ2eLnTpfCYAl0abPBQPjmmzH9678ipqcjBfuKgtzbiygsxDg4iPNnP4PiYtTycvB6kYeGIvNfvN7IDoaG3U74jjsgOxuR5JoIq9VKeXk55eXlqKpKZ2cnAwMDdHV1cf78eXJzc6NRG7vdrr/PIQY9NhCKl6WEmM/ny8yY0QnpucLegmhT2icmJjh48CB5eXlJOW66pJn19/fT1NS05k0QlmuTHsSMz+ejoaEBRVFwuVwrFjKxmEwzszCWiyRJCVlHt9+uUlAQ6a7W2SlRXS04enQMm+01ysrWsWnTpplD8haJhlgs8IEPqHzgA2v3GS4mAPTsgKQjJpOJ4uJiiouLGRwcZNu2bXg8Hi5dukRLSws2my0qbHJzc6PnXwjBudFznB46jUE2cKD0ADXOmriP++AbDyIhIRBgCEPZKSg5Q0iY6Cku5o7y/52ot5xSdClmgNDv/A7yhQsYXn0VBgdBCERhIcH77iPnG99AtVoR2oBcsxl10ybkcBhhtUYEDUSEzPXXE35P4oakxossy2RnZ5OTk8PevXvx+/1R0d7T04Msy9E6G5fLlTDRvlKu5siM1pBEj9fBW42MmEkTvF5vtLVwMovN9CpmDAYD4XAYVVVpa2ujr6+PPXv2UFhYmDKb9CBmxsfHaWxspLi4mJycnOgudapJ1NBMSYLrrxdcf30YIQTd3d1cuHCB7dtrKZunSFdvqV16suVqQpIk7HY7RUVFbNiwgWAwGG393NfXhyRJuFwu8px5fK/7exzvOo43FHFk7WY7H6z9IB/e8eG4nJSL4xcjQiYWWUWWwrSPt8dlr16FwWLMWbuTk8iDg6hlZVcKz1KB3U7gr/8a+eRJ5LY2sNlQrrkGwmEMU1OEZg84zMmB3FzCH/lIpAAvGETdtg2lvp64JuYmgdg5M1lZWXPmNY2NjdHT0zMnahMr2lNpezo3AFhMiC2nu2KGxJIRM2mCw+HgwIEDST+uXmtmZFkmHA5z8uRJ/H4/9fX1KZ/Cm2oxo7Xo3rJlC1VVVfT29urGWU60iNA6+w0NDS06P0dPYkZPtugNf9iPIhRyTMu7poUQvNr/Kj8f/Tm+Hh9Ha45ilI2YzWZKS0spLS1FVVUuX76M2+3myTNP8mjnozgsDsqyyzCbzYwFx/jOue+wq2gXe4v3LnnM9Y71tLhb5goaiKtxQLoSFWBeL5ZPfzrSRSwUQlgshD76UQJ/9VdX2iAmG6MR9fBh1MOHr/zO50Ox2zGMj8987vQ0Ijsb5W1vQ62tTa6dcbJQdCN2XtPGjRsJBALRqE2saNfETSqiNukcmVlKiGXEjH7IiJkMi6LXmplgMMjIyAj5+fnU19frIic3VWImtnvbvn37oq0/Uy2uYknU0EyAUCg0o+nDYjnMGQGxMhY6b56Qh+e6nqPZ3YzdbOfG9TdS41o8RcsX8jERmCDfmo/ZMNO5mvBP8FLvS5wdOYsqVKrzqrm28lqqcquWtHHEO8Lv/uR3aRhsQFEVHrr0ENWvVPP4bz7OJuem6PNkWSYvL4+8vDz6+/rJzsmm2FpMMBhkYnICg2RgKDjEM83PsDN/55L3lvv238cnfv6JGb+TJRmjbORDtR9a0m5I38iMJElk3XsvxqeeQnrz+pYCAUz/9E/g9RL4+79PsZUxWK1MXn89+Y89htzSAlNTSB4PCBERMtu2pdrCBYlXEFgslhmifWpqKipsmpubsdvt0ZS03NzcpIiMdBYzS0VmMjUz+iH1HmAGXaPHNLPBwUF6e3vJyspi7969unECUiEeNEc+EAjM6d6WSAGxXBKVZubxeDh58iQ5OTkcPnx4ScdTT2JGT7ashBHvCH/87B9HhQfAt89+m0/VfYpbt9w65/n+sJ+vv/51Hjv/GJ6QB1eWi7t33c09e+7BIBvwh/18v/n7NI02UZhdiFE28sbAG/Rc7uGunXdRYitZ1J4/+vkf0TjYiIyMJElIkkTXRBcf/MkHeeXDryBLc52S6eA0JoMJq9WK1WpFCEEoFGLQPUjfSB8nTpwgLy8vWmszX378nbV30jfVx9/++m8JqZHW7AXWAv79Xf9OmT3+eSR6uY/FixACY3c3ph//eM5jkqpi+o//IPh//++V+hQd4D52DGtDA9YXXohEkd4clCn19WH87/8m/N73ptrEeVnJnBlZlnE4HDgcDqqrqwkGg9GozdmzZxFCzIjaJCp9fSlBoGfiicykOiMkQ4SMmEkTUvVFp6c0MyEEFy5coKenh4qKCjwej64cgGSLmenpaRoaGsjJyaGurm6OI58oAbESEuG4u91uTp06RUVFBZs3b45rLehJQOhp7a6Ehxof4tTQKUptpVgMFoQQDHoG+eprX6W+vJ5SW+mM53/mxc/wny3/iUEyYDaYGfYM89ev/DW+sI9PHvokLe4WWt2tbHZtjkZsnFlOmkebOTl4kndveveCtvRN9fGL7l8AYJANKKqCLMmoqLSPt/PqpVc5UnFkzt/tLd7LawOvEVbDGGVjZH0YBFmWLG7acxN1FXXRWpuOjg7MZnNU2DidTgwGA5IkcX/9/dyz5x5e63+NHFMORyqOYJTj/3pdzprsnOjkmY5nuDhxkTJbGUc3HKW2MDXpUcbm5gUfkxQFuaUFRUdiBp8P8+go6qZNkSGZZjNYrUg9PRi/+13CN9wQaYuoM2JrZlaK2WympKSEkpIShBDRqE1/f/+MBhkulwuHw7FmAiTdIzOZNLP0ICNmMiyKXiIzoVCI06dPR1sNX758mcuXL6farBkkU8yMjIxw+vRpqqqqqKmpmfeL7mpOM+vt7aWlpYVt27ZRsYzeyXoSM5A+DQBmr6+QEuLnnT8nx5SDxWCJPqc4p5i+qT5O9J7gjm13RJ/fNdnFjy/8GIvBEq2DsRqtTAYmefjMw3xs98cY9Y2ios5IPZMlGbvFTs/lnkXtG5weRAiBQZrpeMjIhEWYAc/AvH/37o3v5rnu57gwdoFcSy5CCKZD0+wr3sc71r0Dq9lKRUVFdLDhxMQEbrebtrY2gsHgjIGd+dZ8jm08Fv9JnUU8zmrDYAOfe/lzDHmGMMkmQmqIn3X8jP99+H9zdMPRFR97uQghIv+VLB4tU0tLF3082Vh6ejBOTCA2bLgyUwYQhYVIw8PIXV2o27en0ML5WWtBIEkSubm55ObmsmHDBkKhEG63m7GxMc6dO4eqqjOiNlmraISQ7mIm0wAgPciImTQiFY6YHmpmpqamaGxsjEYgTCYTHo8n5XbNJhniIXbWUG3t/B27NPTkuK+VLUIIWlpa6O/vZ//+/bhcrpTYsZzj6cWWtSSshgmpoTnRB4nI+w0ogRm/b3Y341f8OC0zGzNYjVamglN0THSQbcyODLsU6oyUMH/Yj8PiWNSeTc5NWIwWAuHAjL9VhIJBMrCjYMe8f1eUU8QDb3+AH7X8iBN9JzBIBu7Yege3bb0Nm9k247kGgyEqXGpqavB6vbjdbkZGRrhw4QJWqzX6eF5e3rIcuHjWgSpU/qnxnxj2DFPjrImun+7L3TzU+BDXVFyz7IYJq0XZvx+luhq5o4PYlS4AYbcjlnl9Lonfj+HECeT+ftTSUpTrrltWx7GwyRQZKhUKzRAzBINgNCJ0Wv+QaEFgMpnmRG3GxsYYHBycMYzW5XIte22ns5hZKs3M5/NlxIxOyIiZDIuS6sjM0NAQZ86cYf369TNmhugp6qCRaJsURaGpqQm3282hQ4dwOBZ38PR0jtYi5U2bteT1eufUB8XLWkSIgkF4+WWJc+dkzGbBNdcIduwQLDcLJN3SzGI/P6vJyv6S/TzX9Rx5lrzoe5kMTpJlzJrTBSw/Kx+jZCSkhqKRHCCa3lWQXYDVaKUop4iOiQ7WO9YjSzJDniEMkoHdRbsXtS0vK4+P7voo/9jwj5G6FUH0c765+ma25G9Z8G8r7BX8ycE/4U8O/knc50KSJHJycsjJyaGqqopwOMz4+Dhut5vm5mbC4fCMqE08O9tLrYeeyz1cnLhIcU5x9LmSJFFmK+PS1CXOjZzjcNnhRV9jrdDWgiTLKEeOIHd3g6IgICJqsrIgOxvjT39K+EPxNUFYCqm7m6xPfhK5tRWEAElC3bQJ/9e+hqiujus1fOvWEdiwgaz2dtTq6sjwrFAIeXAQpa4OsX79mti61gghktbeODZqs379ekKhUHRtnz9/HkVRcDqd0ajNUgXwV3trZq3hTobUkhEzGRZFlmWCwWDSjyuEoL29na6uLnbt2kVxcfGMx1MtsuYjkeLB7/fT2NgIQH19fVzOkZ7EzGpFhNfrpaGhAYvFEo3OrdSO1Ygqjwf+8i8NnDghE4rUevO978Hv/Z7CXXepyxY06RqZAbhnzz2cGT5D9+Vuso3ZBNXIfeK2LbdRWzCzhmN/yX62uLbQNNqEbJYxGUwElAC+sI+jG45SYY+kCt66+Vaebn+a9rF2VFRcWS7etfFdbC9YOvXns2/7LCbZxL+e/lemg9OYZTO3b72dv377X6/9m5+F0WiksLCQwsJChBB4PB5GR0ejO9s5OTkzBnbOdpDiWQcS8y+u+VpCJ5qomJEk5EuXEJWVqBYLUiCAarVCbi5STw/yxYtrdUAsf/VXyOfPo5aURKIqwSByayuWz34W/7e/DXHs/gtJYvTuu7H/678id3Xx5ptA3byZ4B//Mcu+gJPEWtTMrBSTyURRURFFRUWRNMzpacbGxhgeHp4RkdSiNrOFS7pHZhZrZ52JzOiHjJhJI1KVZpZs0RAKhThz5gwej4e6urp5J9jryVHXSJRNk5OTNDQ0kJ+fT21tbdy7XHpKY1qNLePj4zQ0NFBaWsrWrVtX9cW42nPy5JMyL7wgU1YmyMmJbBAPD8Mjjxg4fFhQWxv/a6dbZGY2u4p28c/H/plHmx6lYbABl9XFeza9h1s33zrnvRlkA9+86Zt87Kcfo3OiExESyJLM3uK9M8TGtoJtrHOso2uyC0UolNvKcVnjS1Uyykb+8m1/yZ8d/DOefO5JbrrmJoodxUv/4RojSRI2mw2bzRbd2Z6vi5QmbjRnaan1UJlbyWbnZhqGGrCZbchSJNrZP9VPqa2UnYU7k/H2gJliRi0piQynLC6+IqvejJyIgoI1OZ508SLyqVOoLteV9DCzGTU/H7mpCbm1Na7WykIIQhs34v/WtzD88pfIQ0OoJSWRoZqpHPS5BHoRBNowWrvdzrp162ZEJFtaWgiFrYZXpwAAIABJREFUQtGIpMvlIjs7Wze2r4R4WjNnxIw+yIiZDIuS7JqZ6elpGhsbsVqt1NfXL7gDr4dantloYmYtZ0b09/fT1NTEpk2bWL9+/bJeV0+Cb6VpZpcuXeL8+fPRQaCrZbVi5he/kDGZIkPDI68HRUVw4QL86lfSHDGz1OelF7G5FAu9j635W/nCdV+I6zVqnDU8+4FneaHnBQamB9jg2MA1FddgkGeK82xTdlyRmIWwmW1UZFUsWWeTLEwmE8XFxRQXF0frEUZHR2fM/ggEAni9Xlwu14LnWpZkPr7v43z2xGe5MH4Bk2wirIZxZjn5g31/QLYpeU5VrJgJ33ILxl/9Cml0NFIjo6owPIxwOAjffPOaHE+6fBkpHEbM3iU3m5EmJ5EmJ+N6nWiEIzcX5dgx9BXbXxi9CoL5IpJjY2PROrKsrCxUVWVychKLxZJ26WaZ1szpQ0bMZFiUZEZmhoeHOXPmDJWVlUu22tVTy2gN7ctmLcSMEIK2tjZ6e3vZs2cPhYWFK7JHL2JmuSIitg333r17KVirHd5Vihm/P1I/PPM1I/8PBpf3madLZGZiAjo6srBaBRs3ri4Tx2wwJ7Xrlt6IrUfQZn9o3dE6Ojro6uqKRmxcLteczZzdRbv5+xv/nmc6nqFzspNSWylH1x9dtCYoEcSKGeXmmwl2dWF6+GGkS5ciEZnCQgL334/YtGmJV4oPdeNGhMOBNDk5Y26NNDmJcDhQahYf1Bprd7pcd7GsZM5MsomNSGp1ZG63m6amJjo6OmhtbY3ObNKiNnr/LDKtmdOHjJjJsCjJEA1CCC5evEhnZyc7duygNI52nomIgqwW7ctmtbtoWqG7lmZns9mW/qN50NPQzOXYEg6HOXv2LFNTU6t6/wvZsRoxc+SI4N//XSIcviJqpqcjdcS7di3vXOvp85kPRYGnnzby/PMGenpKsVgEb7xh4s47wxQX6z+itJL7gioic2nG/eOU2kqptFcm9P5iNpspLS2lq6uLLVu2IMsybreb7u5uzp8/T25ublTc2Gw2JEmiKreK39/z+wmzKR5ixQySROgP/oDwLbdgOHkSYTKh1NXBEg1KloXDQejOOzF/85tw6RLYbODxIAlB8K67IM4ibL1GOJYilTUzK8VoNEa7TR4+fJhAIBBNt7x48WJ0ZpPL5cLpdC458DgVZNLM0gf9rZ4MC5KKm1mi07k0x/Xy5csL1scsZBfoq1NKrJhZKbGF7oul2cVrjzYPItVfhPGmmfn9fhoaGjAYDNTV1S1afLkSVitmbrtN4eWXJdraJHJyIByO/PfOd6rU1c3/uosdT89pZi++aOCHPzRitwsqKgIEAjKvv24gEJD48z8PsoqlqUuGPcN8q/FbNI004Q17sZvtHCk/wkd3fzThKVzaNZqXl0deXh4bN27E7/dHB3Z2d3dHncOCgoKUO3/zrVtRWkr4Pe9J2DFDH/sYwuHA9L3vIQ0NIdatI/iBDxD+nd+J+zX0cC9cCekswiBy/9e6/1VWVqIoCuPj44yNjdHe3o7f758RtcnJydHF57SYfyGEwOfzZdLMdEJGzGRYlESmmXk8HhobG6OO+3Ic11jhcLWIGW2ifVlZWXSXdi3s0cMXeDwiQmt0UFhYyPbt2xPy5b1aMVNeDg8+GOaJJwy88opEdjbccIPKLbeo8zr3ix0r1Z9JLG1tMr/+tYzbLbFhg+DwYYUXXjBgNgvKygRjY2AyqRQWqrS2yrS0yOzcqc+o0ko+X22Gy6/7f01VbhVVpirG/eMc7zhOriWXj+z8SAIsncns9ZCVlUV5eTnl5eWoqhod2Hnx4kV8Pl/U+cvPz096yo52T0nqGpZlwr/924Rvvx18PrBa4+pgFose7oUrIZ3FjCRJc2w3GAwUFBRE04e9Xm80atPR0YHJZIqu7VQK96UiMx6PJyNmdEJGzGRYlESJGW2CfUVFBZs3b172jVp7vqIoq4perCXal/tyxYwQgp6eHtra2pY90X4pe0AfX4RLnZeBgQHOnTu3okYHy7VjPmc3HIZXXpFoaJCRJNi/PxJpmU8nl5XBffcp3Hff6u3RQ2TmhRcMPPywiYkJCZMJ/ud/4Oc/N+DxgHPmjEus1si8wYmJ9HMIF6N9vJ1zI+eosldhN0eiwy6ri4AS4IWeF/itzb9FriU3Ycdfah3IshydyK4N7Ix1/rSUHc35S/QGT0pFgSxf6cCxTObcCwMB5HPnkKamUCsqEKstCksQ6VAzMx/xfvdkZ2eTnZ1NRUUFiqIwMTHB2NhYVLg7HI5oB0At3TIZxDM0c6k5OxmSQ0bMZFiUta6ZEULQ2dnJxYsXl5xgv5Rdeqw5WG7RvaqqnD9/nuHhYQ4cOIBztve4SltAHw7zQmlmsfVSu3fvpiimuDcRzCdmQiH48pcNHD8uEwhEfJnHH5d597tVPvUpZU7BfyJtSTaTk/D440ZCIaitjaxbRYHmZolwWAIE+fmajQKPJ9IZt6Ag9WtqLZnwT+AL+8gxz3SSbWYbE/4JpoJTCRUzsLxI3WznT2uP29bWRjAYnDGwMxHOVrpGOGLtltrbMf/DP0Rm4YTDiJwclGuuIXTvvRHVriPSsWYGlo5szIfBYIiu3ZqaGnw+H263m7GxMbq7u2c87nQ6E7qZuVQDgEyamX7IiJk0It1rZsLhMOfOnWNiYiKuCfZLoaduXRrLsSkYDNLY2IiiKNTX16+507EWNTxrxXzCU1EUzp07x/j4+LLqpVZrx2wB8dxzMj/9qUxhoSD3TX91YgKeekqmrk7lhhsS47jrwTlpbZUZGpKoqbnyHg0GKCmBgQEIBqG7W8JolPH7JXw+mYMHFTZvTv2aWktKbaXYLXbG/ePkW68Uk4/7x3FZXbiy4pt1s1JWI2pjU3aEEHi9Xtxud7Q9rjbUMD8/n7y8vDXZ4U+1CF8pUTHj92P+5jeR29pQN2yIKPSJCYzPPIMoKSH8gQ+k2tQZ6CG6vhLWwm6r1UpFRQUVFRXRdMuxsTE6OztpamqKNslwuVzY7fY1va8uZr+iKAQCgYyY0QkZMZNhUbQ0s9XuxGmF7WazmSNHjqxJYbde2zPHIx6mpqY4efIkeXl57NixIyE5wdrnpQfHY3ZkJhAI0NDQgCRJ1NfXY9EG4SWY+cTMiRMSqkpUyADk5UWGYf7qVzI33JC4NaaHzwbmz6wpKBDcckuIX/7SQFeXEbNZcP31CrffHpo3/U5vLOd+VWGv4Jrya/hpx08JKkFsJhvjgXH8YT/Hqo9hNSV+p34tnDBJkqKF1lp73PHxcUZHRzl//jyKoswY2LnS6y6dIzOyLCOfPYvc0YFaXX1lCKfTifB4MD7/POFbb4U1bj6yGtJZzKxlymNsuuWmTZuiTTK0qI0sy1Fhk5+fv6qojRBi0ciMx+MByIgZnZARMxkWZS26ho2OjnL69Ok1K2yPtU0PUYdY4hEzQ0NDnDlzhurqaqqrqxNaH6KXVLxYEXH58mUaGhpwOp3s2LEjqQ0cFkozm+8jkKTIY4m0JdVs2aJSXCzo7ZVYvz5yXhQFhobguusU3vc+haNHFV5/fYCsrDCHDm1MscWJQZIk7t51N3aznRd6XmAiOEG+NZ93bXwX79r4roQfP1HiYPZQw+npadxuNwMDA7S2tpKTkxMVNrm5uXHfm9NVzGjpWtLUVGShzxYs2dmRls9dXRhaWpA6OhB5eaj79qHu3JmyepqrvWZmpcxukjE5OcnY2Bg9PT1zWpsvN2oT24ltPnw+H0CmNbNOyIiZNCIVXx6xhfbLdTqFEHR1ddHe3s727dspLy9fc9v04KjHsphNsfUhu3btori4OKX2JBNNVA0PD3P69OmEC7nF7JgtZg4eFDz/PAQCVzZpfT4QAvbvT2zkJNWRGYcD7rgjzCOPmGhqkjGbI6ll69ap3HprGEmKlA+UlYV0FwVdiJWeU6vJyod3fpjf2vJbTAWmcFldZBmz1ti61CFJEna7Hbvdzvr16wmFQtEmAmfPnkUIMSNqs1j0PF3FjCYK1MpKRHZ2pGgsLy/6uOR2o1ZUYPrud5F7exE2G1IggHjtNcK33IJyNDUDX9O1ZiaZESVZlnE6nTidTjZu3EggEIhGbXp7e5EkKRrVWWp9a7YDC/o9Xq8Xo9GYtKyCDIuTETMZFiU2MrMcYush1qI+Zj7SKc0stl4oWfUhoI8icw0hBKdPn2bnzp2UlJSkxIb5zsfNN6v84hcyb7whRTdqQyE4fFjlne9cnRBczAFJ1GejqjAyImG1ihmpcwtx/fUK5eWCX/9aZnQ0EqF529sUior0sW6Sjd1sj3Y0SxapEAcmk4ni4mKKi4sRQnD58mXcbjd9fX00NzcvuaudNHuDQaT+foTDMbe93jLRRIHYtAmlvh7js88iPB6wWpHGxhAWC8LpROrrQ62tBVlGANLAAMaf/xx13z7Em+2Ek0m6ppmtpAHAWmGxWCgrK6OsrAxVVeesb7vdPmN9z7ZT8y0Wst/r9WY6memIjJjJsChaj/jliAafz0djYyMGgyGh9RDpkmbm8/loaGjAaDSuWb3QauxJNqqqcuHCBQAOHjxIXsxOaLKZr6ua3Q7/7/+F+clPZE6ckJFlwbXXCt73PnWlHWBnoF07s+ctJMIZfOEFA488YqKnJ9Jm+brrFO69N7Rk97EtW1S2bNHXtZRo3D43L/a8SNtYG3lZedSV1bG7aHdKdsBTveEgSRIOhwOHw0F1dTXBYDA6sFPb1dYcP5fLlZxIgRAYv/c9zP/2b0gjIwizGeXoUQJ//ufgWllDhqholCRCH/84oqgI4wsvgM+HunUr4RtvxPjzn0NR0YwZNqK4GFlLO0uBmMmkma0OWZZnDKTV1vfY2BinT58GiEZsXC4XFoslKsQWWuderzfp850yLExGzGRYkuXMmtEGP5aWlrJ169aE3sj04KjPZrZN4+PjNDY2UlxczLZt25J+Y0/1OdI6toXeLD7JjSdUkGDmcxwdDvjQh1Q+9KG1OVdCCIQQhMNhYK6gSURzhldeMfD5z5vxeCTy81WCQYknnjDS2yvz93/vX1U989X2hd0/1c8Xf/VF2sbaMMkmQmqI4x3H+fCOD3PrlltTYpOezrHZbKa0tJTS0tJoLYLb7aarq4vz58+TnZ1NOBxmeno6YdPajf/5n1i+9CVQVYTdDsEgxh/8AKm/H//DDy97YCbMEgXZ2YTvvJPw+98PXm8k3SwYxPj885HBU7Fo99AUDG/U7iV6EAXLRS9iZjax6zs2Knnp0iWam5ux2WzReTYLvYfMjBl9kREzaUSqvuziicwIIeju7ubChQts3bqVyspKXdiVbGLFgxbO3rJlC5WVlSn5/FLZAGB6epqTJ0+Sm5vLrl27ePHFF1P+5bbQvJu1ROuCozkgFosl+jtVVaNrVvt5rc7J448bmZ6WqK5W36xTFthsglOnZF591cB11+nrWkklT7Q+QetYK1tcWzDKka/B/ql+Hm9+nLqyOsrsK5t/tVJSHZlZjNhaBK2DVE9PDwMDA5w8eRKj0bj209oVBdPDD4OiILSU1OxshNmM4fXXkV9/HfXw4WW/7LwRpaysyH9v/lvZswfjT3+KcLkiDQKEQOrpQS0uRt20aZVvbPlo9289id14SfX9Ph7mi0qOjY0xODiIoiicOHEiGrXJy8uLFvxnIjP6Qt+rLIMuWCqdS1EUzp49S2dnJwcPHkyKkInHrlSgCazm5mZaW1vZt28fVVVVKRWiCzlKQsCLL0p88pMG7r7byD/+o8zY2Nocd2RkhFdffZXS0lL27NkTbZGpB6ctkTbEihaInH9ZljEYDJjNZrKysrBYLPh8Pi5duoTNZiMcDhMMBgmFQjP+djmoamRmTG6umNFwyWqNPNbZ+dabLbLQNRdUgrzS/wr5WflRIQNQYithwj/BmZEzyTJxBuniFGVlZZGfn09WVhbXXnst27Ztw2AwcPHiRU6cOEFjYyM9PT14PJ4VrxlpfBx5YABhs818wGqFUAi5vR1UFfm11zA++iiG48cj0ZUliKc2KXzDDag7diC3tyM3NSE3NYHVSvi3fou4itDWmKW6aumZtW7NnAzMZjMlJSVUVVVhtVrZu3cvNpuNgYEB/uzP/oxdu3Zx33330djYuKJOZi+99BLvfe97KSsrQ5Ik/uu//mvR5z/xxBPceOONFBYWkpubS319Pc8888xK395VSyYyk2FJFksz0+pjZFmmvr6erKzkdf9JdQrVQmj97uvr61PetnGxc/Q3f2Pg6183EA5HHN6nnpJ55BHBE0+EqKhY+TG7u7tpa2ujtraWsrLIDrdeZt4ksiFCrJBZLNda6x61YcMGqqqqEEJEIzSx15kmhOJxYiQJ8vMFnZ0zjxkOR0Sr05leQiQp6Eg7pPq6WC6aKIid+1FTUxMd2Ol2u+no6MBsNlNQUBDd1Y7XsRU2GyInB+ny5ZmCJhwGSUJYrWTdcw+G116L9lZXKysJ/O3fRlooL2AzxCEK8vMJ/uEfRmbRDA4irFbUHTsQZcmN1mmku5hJR7vhSgfX3NxccnNz2bBhA1/84hd5+umnefbZZ3nqqaeYmprilltu4dixY9x8882sW7duydf1eDzs3r2bu+66i9tuu23J57/00kvceOONfPnLXyYvL4+HH36Y9773vfz6179m7969a/FWrwoyYibDkiyUzjU2NsapU6coKipi+/btSb9pLaeWJxlMT08zNjZGVlYWdXV1CRmEuVwWSjNrbpb4u7+LOBYOR8QZVhTo6JD4yleMfOMb4Tl/sxSqqtLS0sLg4CAHDhzAGdN5SHPsUy0+EyVmYutjFhMyPT09tLe3U1tbO6c1t6qqM1LUNIET+5qzmwhoSBK8731hvvY1M243uFyCUAj6+mTKygRve9vyP890ZanP12wwc6j0ED+58BMKrAXR6MyQZ4g8Sx47CyPOcCAcoH28nenQNHmWPKrzqjEZVj6EbynSJTIDC0c4srOzyc7OprKyEkVRGB8fx+1209raSjAYxOl0RlPSFq03yMoifOutmB56CKamwGaDUAhpZAR1wwYMDQ0YTpyIFONbrRAOI3d3Y/mLv8D35JNX0sZiWFa6VnY26uHD6GGrTFvP6bQ+NK4GMRNLYWEhd911F3fddRcPPfQQTz75JHV1dXzve9/jvvvuo6amJips3vGOd8zrAxw7doxjx47FbceDDz444+cvf/nL/PjHP+app57KiJkYUu9tZYibVN3MZosGIQS9vb20trayZcsWqqqqUmKXniIzIyMjnD59GqvVSnFxsS6EDCycZnb8uEwweEXIABgMYDLB00/LPPggy5ryHgqFOHXqFIFAgPr6+jmOytUcmdFEh1YjM991KoSgtbWVwcFB9u3bN29HN+1LP7Yduhbp0cSN9h6048Q6CrfeGqavT+a//9vAxYsyBgNUVancf39wpc2fouipxfda8P6t76fZ3UzbWBtmg5mQGiLbmM2dO+6k3F7OkGeIH7b8kI7JDoQqMMgGtuRv4bYtt+HMWl574EA4wMWJi/RM9mCQDaxzrKM6r3pGilu6ndt40rUMBgMFBQUUFBQghIhGbYaHh7lw4QJWqzUatXE4HHOc3uAf/iFSfz/GZ5+F/n4wGlE3bSLw+c+T9ad/GonYaJFvkynScaynB8Orr6K8/e3z2gzpJwqWivTqGVVVdfNduFyWEmJer5eSkhI+/elP8+lPf5rJyUmee+45jh8/zn333cepU6cS8t5VVWVqagrXam/qVxnpucoyJJXY2hRVVTl//jzDw8Nzdt+TjR4aAMQOBq2trWV8fFxXjslCgk9RFp56ryiR1KR48Xg8NDQ0kJ2dvWBESosqpPrcrKUNWpeh2HkE8zkc4XCYs2fP4vP5OHToUNyph7EpZrFRm4XS0Uwmmf/1v4LcdptEc7NMTg4cOKCQGVA9l3J7OV+87ou80PMCLe4W8ix51FfUs694H6pQebr9adrH29nk3ITZYMYf9nN2+CwOs4Pbt90e93EC4QDPdT1H02gTJtmEQHBm+Ay7i3fzjqp3YJANaeFkSxcuYPrRj5CmplDq6hB79y7LXkmSyMnJIScnh6qqKsLhcHRgZ1NTE4qizBjYabFYIDubwNe+Rqi1Fbm5GeFyodTVIY2MzJxwq2EygaIgTUzMa0PcaWY6I10HZkIkupHMUQRryVKDwn0+34x7ucPh4NZbb+XWWxPbDfGrX/0qHo+HO+64I6HHSTcyYibNSIVDqEVm/H4/jY2NABw5ciSp9TEL2aW1/E0FiqLQ1NSE2+2ODgadnJzUTbQIFl4v112n8tWvGvD7I1kaEKmbCQbh6FE17g6kWivu8vJytmzZsuSQyFSfm7W6fmLTwbTXne+9+/3+6A7dwYMHo40Qlkts1CY2UqP9W0txkySJykqZqqr509EyXKEgu4D3b33/nN9fmrpEx0QHVblVmA0RRyzLmEWprZTz7vOM+8fjjs5cnLjIefd5qnKryDJG7peekIczw2eozqumOq86+ly9Oqymf/kXLPffH/lBkjB961uU79rF4Be+sPAfeb0Yn3oKw8svgyShXHst4fe8J3qzMRqNFBUVUVRUhBCC6elp3G43AwMDtLa2kpOTQ35+PgUFBeRu3oy6ZUv0pUVREaK0FLmra2Y9zdRUpL4l5rmxpGtXsHRO1UrHBgAaS9mudTNLJo899hif+9zn+PGPf0xRUVFSj613MmImw5LIssz09DSvvPIKBQUFbN++XRc3qFSmmcUKu9jGB3qIFsWy0Dk6eFBw++0qjz8uEwhEIjJCQEEB/MVfxGd/b28vLS0tbNu2jYo4OgYkoy1yPDaslngL/aempmhsbCQ/P39NZwwtlI6mCZyVNhHIECEQDhBSQ1gMM3f+LQYLU8Epgkow7tfqmezBKBmjQgYgx5SDqqoMTA9QnVed8mtiMaQLFyJCRlUjkY8317rl7FnWfec7cO21c//I68XyJ3+C8ZVXoiFe4/PPY3juOQIPPhipZwkGI8X9ublIZjN2ux273c769esJhULRJgJnzpxBCDFjYKfZbCZ0991Y/uqvkC5dQtjtSIEA+P2E3/Me1K1b530v6RABm490nTED6S3EtKGZC+Hz+bDN7raXQL7//e/z0Y9+lB/84Ae8853vTNpx04WMmMmwJD6fj4mJCbZu3ZrSNsOzSVUDgMnJSRoaGsjPz6e2tnaGsJNlOaXRotksJGYkCb72tTCHDsn84Acy4+MSR46o/P7vK2zcuPhravUfly5dYt++feTn58dlix7SzGB1TQjiFTKjo6OcPXuWdevWsWHDhoReM4ulo81uIrBSYaOXa345rNTm4pxinFlORrwjM+bNjHhHKM4pxpUVf666QTYgmLvmhSQwSDM3hPR4jk0/+tGb/7giZDAYkBSF4meeITDP3xifegrjK6+gFhZeKcT3+TC+/DLKU08h+XwYf/QjpIkJRH4+odtuI/zbvx0dSGkymSgpKaGkpGTGQMPe3l6am5ux2+3k791L+ac/Te73v4/c14dwOAj93u8Ruvfe+fNnuVLno8fzvBjpnGaWzmImnshMYWFhUmx57LHHuPvuu3nsscd497vfnZRjphsZMZNmJNMhVFWV5uZmJicnKSoqiqvtYDJJRWSmv7+fpqYmNm3axPr16+d8yeipKQEsvl6MRrjzTpU774zf3nA4zOnTp/F6vdTV1ZGTk7MsW1J9blYTHYq3Y1lvby9tbW1s376d0tLSFdu6EpZqIhCbjjZfE4HF0IMQTQY2s423VbyNp9qf4uL4RWxmG5OBScwGM9dVXYfJYGLEO0LzaDNhEWa9Yz0bHPML1nWOdZwZPoMn5CHHFLlWJgOTmGQTpbbI2tDzeZWmpiLiYNZ7E5KEweeLRF5mPWY4cSLy+9g0ZKsVhMD0z/+MND4OZjPCZkMaGMD89a8jeTyE7rln7vFnDTQMBALRWptXysowfPKTFJlM5FVU4CwpWTSNM11FQboLgnS1fbk1M/EyPT1Ne3t79OfOzk5OnTqFy+WiqqqK+++/n0uXLvGd73wHiAiZD3/4w/zd3/0ddXV1DA4OAmC1WnE4HMs+/tVKRsxkmJdAIEBjYyOqqlJRUZFyJ3Q+kikchBBcuHCBnp4e9uzZs+COjN7EzFra4/P5OHnyJBaLhbq6umXXf+ghzQxW5jzG27Gsra2NgYEB9u3bl9LmGBqzozax/12t6WhrscbeVvE2bGYbrw+8jtvnZnvBdg6XHWZ7wXZe7n2ZH7T8gFHfKBISOaYc3r7u7dy+9fYZHcoAqvOq2V28mzPDZ1BUBSQwySYOlBygMnfmcGE9OtpKXR2mb30r8oPm2AmBJASXd+7EsFAXkfl+Hw4jd3YiysoQb+b7i9xcpMFBjD/8IaE77oB5uvzFYrFYKC0tpbS0FFVVmZycxO1209nfT1N7Ow6HI5qSlpOTM+OcxtOBTY+kuyBIZ9sXa17g8/mWtZmn8cYbb/COd7wj+vMnP/lJAD7ykY/wyCOPMDAwQE9PT/Txhx56iHA4zCc+8Qk+8YlPRH+vPT9DhIyYyTCHiYmJaK5/bW0tXV1dTE9Pp9qsOSQrzUyLRng8Hurq6hbNk71axcz4+DiNjY2UlJSwdevWFacqpVrMLNeGeDuWKYrC2bNn8Xg8y+pYlkwWSkfT3uPsqNNyojZXG5Iksbd4L3uL96IKFVmKnIe+qT4eb36ckBJiW/42JCTG/GMc7zjOutx1HKk4MuN1jLKRd1S9g+q8agamBzBIBkptpVTmVkZfM9XXxGKEb74ZZf9+DA0NM1ogCqOR3rvuYv08f6Ncdx3G//kf8PmudBfxeiN1N0YjYpZgEU4n0vAwcnc36hJiJhZZlnE6nTidTjZt2oTf74/W2nR2dmIymaLCxul0pm3tSbraDektxJZKM/N4PCu6z7/97W9f9JqfLVBeeOGFZR/jrUhGzGSYQV9fH83+XKUtAAAgAElEQVTNzdTU1LBu3TokSZrRmllPJEM4eL1eGhoasFgs1NfXLxmN0JuYWYvULi21bvPmzatKNdRDmtlyxEy8HcsCgQCnTp1ClmUOHjyY9FakoRCMjkrk5gri3Shc7kwbPTvciUYTHQBnR84y5h+jNr82uhbyrfmM+cd4beC1OWIGInUzszuXzYcuowYmE74f/QjLV76C8bHHkKanUerq6L37bqYWKK4Lv+c9GJ57DuPLL0fSzYQAWSZcX4/h4kXw+yH2GvH5wGKZI3KWS1ZWFuXl5ZSXl6MoChMTE7jdbtrb2/H7/dhsNlRFIfSLX5Dz0ktI/f2ITZsIHzuGunv3qo6dSNI1PQ7SW8zE0wBgJZGZDIkhI2bSjETd1LTp7QMDA+zdu5eCgoLoY6kqtF+KRHcO09oOl5WVsWXLlrhuynoTM6utEdFS62aviWTbslbEK2biLfSfnp6msbGRvLw8amtrk/rFLQQ88YSBRx81MDQkYbXCsWMK994bZrlNdpaaaRMMBlEUhXA4fNWko62EQDiAzNz1YJbNTAdXFr1O9TWxJLm5BL70JQJf+lK0RsbT3R2pp5kPq5XA17+O8rOfRVozE4nWhG+6Cctf/AWGEycQRmNk4KXXizw6Svj66xFrWJNpMBiiURmIbEr19fWRe/w46s9+hldRkO12straML/6KqE//3OUa65Zs+OvJeksCK7m1sw+n2/OcOgMqSMjZjIQDAZpbGwkHA5TX18/J3SqVzGTqIiREIKenh7a2tribjusoUcxs5LPThv0ePny5SVT6+JFkiQGBmR++lOZcBiuu05QU5NcR05zQhfLn49XyGitY6uqqqiurk767ukTTxh44AETQoDDIfD54NvfNjI8LPHAA6GFmjotSWzURghBZ2cnQ0ND1NbWrrqJQDJJxOdRYa/AIBvwhXxYTRFHRhUqU8EptuVvW9Vrp8XuexzXDwBWK+FbbyU8a4Bg8P77sXi9yOfOweAgmM0oBw8S/NSnEmk12dnZFJlMWF5+GUd+Pv7CQgKBAFM+H9a+PkLf+Abj5eXkFxfrzkFNdzGTrrYvFpkRQuD1epPamjnD4mTEzFucycnJ6M7y/v37553errfZKRqJEA6qqnL+/HmGh4c5cODAsou49SZmVpLa5ff7aWhowGAwUF9fv2ZpU//932U8+mgRfn9kt8tigbvuUvjsZxWS9X23lJjRnPXFCv0hko7Z2trKtm3bKCsrm/c5iSQUgu9+14AQUFkZEYS5uWCxCF58Uaa5WWL79tUJRS1aOzo6ysGDB7Hb7W+ZJgILsbNwJ3uK9vD64OvkmnMxykbGfGOsc6zjmoqV7ezrPjIzDystphdlZfgfegj55EnkwUHUsjLUffuuNBdIIMaLFzFNTsKuXWQZjWRlZZHrcKBYLCijo3Q1NXGhs5Ps7OxoVMfhcKR8PWdqZlKDHodmZliYjJh5C6PVQmzcuHHRWRh6rplZS5E1O0K1kh06vYmZ5aZ2aTN0CgoK1jRt6o03JB5+uBohJJzOyAbv9DT88z8b2LVLcNttyTlni72feDuWtbe309fXx969e3G54p85spaMjkoMD0s4HDM/29zcyGMdHTLbt6/82tAic36/n0OHDs0YCrucmTbav5NJIsWBxWjhY3s+xsbujbx66VVCaohjG49x/brrKbGVrOq10yIy8yar6gxmNKIePkxSrnivF7mlBSQJVYiIaAqFojNtJCJOkMlmY8f+/YQKCqKtn5uamlAUBZfLFRU3Fotl0cMlgkzNTGqIp2ZGb1G8tzIZMZNmrMVNTVVV2trauHTp0qJthjXeCmlmU1NTnDx5ctEIVTzoUczEa8/g4CBnz55dcIbOanjySZlQSOByXflys9vB7YbHH5eTJmY0Yr9kl9Ox7Ny5c0xNTXHo0KGUFn/m5gqs1kjtdG7uld8HApH5hi7Xyh16rS27yWTiwIEDCza9SORMGz1jN9t5X837eO+m9yIQMxoErITFxJc35GU6OI0zy4nJsLxW6IkkHdocG55/HtO//zvywAACIullFgtSby9i48aosJEGBlCuuw5RXIxRkigqKqKoqAghBNPT04yOjtLf309rays2my0qbHJzc5NyDtJVEMRuDKUj8cyZyaSZ6YeMmHmLEQwGOX36NIFAIO6hh3oVM2slHIaGhjhz5gzV1dWrrn3Qm5iJp+BdCEFHRwcdHR3s3r2bojdnQKwlo6MSkdMy0xZZhqGh5DlFsQJG+39sx7KFvniDwSCnTp1CkiQOHTqU9I5ls8nJiRT7f/vbRiwWQW5uRMhcuiSxfbvKwYMrW4NaQwOn08n27duX5Yi81WbaSJKExNqt3dj7jjfk5btN3+XZzmfxhrwU5xTz/q3v51j1Md2ICL3YMR/y+fOYH3wQvF7U8nIQAkN3N8ZgEFFainzhQuROJEmoW7cS+tjH5szGkSQJu92O3W5nw4YNBIPBaNTm9OnTAFFhk5+fv+y5W/GSzmIGkh+ZXSsWSzMLh8MEg8FMmpmOyIiZtxCXL1+msbGR3Nxc9u7dG3f0Qc81M1ob2ZXcMIUQXLx4kc7OTnbt2kVxcfGa2KQnMbOUPVq0YXx8nMOHD5Mbu82/huzaJfjRj0BRhJbhgRCR0RMHDiT/fMVGY+LtWOZwOKitrdVNd5577w0zNCTx0ksyo6MSJhNs367yhS+EWIlfNT4+zqlTp6isrGTjxo2rFvWz09Fi0/iu1qjNSoht/a39/PXXvs7POn6Gw+LAarLSfbmbr732NQDetfFdKbNVQ++RGcMvfoE0MYG6eXNUpIQqKzG0tKC8/e2EN2xAcrtRS0tRjhyZGd5cALPZTElJCSUlJQghuHz5Mm63m97eXpqbm7Hb7eTn51NQUIDNZluz85Ou0Q3te0cv98vlsliamcfjAci0ZtYRGTGTZqz0BjkwMMC5c+dWFH3Qa81MbHrLcm/24XCYc+fOMTExQV1dHXa7fU1s0puYWawBQCAQoKGhAYD6+vqE5oPffrvCP/xDmOHhLLKzI/6FzxcZ+P2xjyXvfMU62MvpWLYWDv5aY7PBV74S4vx5ic5OGZdLcOCAykqCRoODgzQ1NbFly5Zlde+Lh4XS0TSBo22UvFWFzezIaft4Oyf6TlCcU0xeVmT2isPioGuiix+2/JAb19+Y8pQzvYsZqb8fYTbPiLYISQKDAWl6mtD73re615ckHA4HDoeD6upqAoFAdGBnT0/PjNbQLpdrxWnLkL41M7GzqtINbdNlISHm8/mAjJjRExkxc5UjhKCtrY3e3t4VpxBpLVr1Fu6OdUyXg8/no7GxEYPBwJEjR9Y0ZUhvYmahBgBajZDT6WTHjh0J3z0rKoIHHmjjO9+p5o03chECrrlG5f/8H2XVXbdWgrbrtpiQuXTpEi0tLWzdupXy8vIkWxgfkgS1tYLa2pVFToUQdHd3R1MMVztLKB6Wmmkz+3krveekkxMVa2v35W48IQ9ltpld8pxWJ4OeQcb94xTlrH0q6HLQe7RArF+P9MtfRu592rlVFCRVRa2sXPPjWSwWysrKKCsrQ1VVJicncbvddHZ20tTUhMPhiIqbnJycZa1NVVUTlsKWSJbaKNIzS6XIeb1eTCZTWn4uVysZMXMVEwwGOXPmDD6fb1WzQjRHd6nuHslGs2U5KXDj4+M0NjZSXFzMtm3b1vz9aGJGLzuX84mr4eFhTp8+zYYNG5IabaiqCvI3fzNAfn4W4TCkohGY9rmcP3+eoqIiCgoKop26Yp9z8eJFent716xjWUeHxOCgRFmZYP16fbTiFULQ0tISbUOeqBTDxXirNhGIZfZmg8PiwCSb8Ct+rMYr3ZJ8IR/Zpmxs5tQXHevl/rYQ4aNHMTz7LHJ7O2pJCQiBuacHb1ER0g03JPTYsizjdDpxOp1s2rQJn8/H2NgYo6OjdHZ2YjKZKCgoID8/H6fTueRGkt42EeMlXe2GpVPkvF4vVqtV19fAW42MmLlKmZqaorGxEZvNRn19/arC3LGiQU87EZpjE28kpK+vj+bmZrZs2UJlZWVCbkSxBeZ6uNHFnh8hBF1dXbS3t7Njxw5KS0uTaovWjCAFPnO0RkZVVerq6hgZGWFgYICWlhZsNhuFhYUUFhaSnZ3N+fPnmZyc5ODBg6vuVjMxAV/+solf/lLG55PIzhb8xm+ofOpToZScBw1FUaIbHYcOHdJNi9G1aCKQjnNbYu8Ve4r2UOOqoWmkiSpHFVmGLCYDk0wGJ3lvzXvJNqW+6Fgv97eFENXVBD/zGUz/9m/IHR0gSfi2b6f33e9mY5KjrFarlfLycsrLy1EUhYmJCdxuNxcuXCAQCJCXlxeN2sxXUK73KNhC6G3zczkoihJp8LHAGs/MmNEfGTGTZsTzBaK12F2rnXdtR1RP6VMa8YgZVVVpbW2lv7+fffv2kZ+fn1B7tGPq4UauCQhtGOjIyAiHDh3C4XCkxJZUrKHZHctsNhs2my3aoWh0dJTR0VG6u7ujKR01NTVr4uA/8ICJ48cNFBQI8vMFU1Pw9NMGjEb4/OdDq379lRAIBDh16hQGg4GDBw/qaoMiloXS0WKbCWjP0xwPPVxzy2W2+DIZTHyq7lN85dWvcGHsAiE1RI4ph5s23MSHdnwoRVbORO9iBkDdt4/A7t1IPT0gSfQLge/Nwu1UEVtLAxGnWKu1aW9vJysrK/p4Xl5etF5V7+d6PvTyHbgSNCG20Hn3+XwZMaMzMmLmKkIIwYULF+jp6Vmz7lwaem3PvJRdoVCIU6dOEQgEqK+vT/gNaKV1PIlC60T3+uuvoygK9fX1c9KqkmlLsnfNl+pYZjabKSsrw+FwMDk5SVZWFjabjY6ODpqbm3G5XBQWFs6bjrYUPT0SL78sk58vyIvUceN0gqoK/ud/ZD7+cYnS0uSeD4/HM6MzW7o4G0ulo8UWG+vxPrUUs9dldV4137zxm5waPsWEf4J1jnXUOGt049Smg5gBwGBAbNgAgOjq0p3N2dnZZGdnU1lZSTgcZnx8HLfbTUtLC6FQCJfLlbbzTBZrbax3lrLd4/Fk0sx0RkbMXCWEQiHOnDmDx+NZVX3MQuhVzCwWmZmenqahoYGcnBzq6upWlWq3HHtAP2ImEAjg9Xqx2Wzs3LkzKedgIeKZebOWxNt6eWxsjNOnT1NRUcGmTZuidno8HkZHR+ekoxUUFMQ1MG9oSMLnk8jLm/mebTYYHpYYGoJkZvqNj49z+vRpysvLo+8zXVmsicD09DQQuScaDAbdz7RZ6JowGUwcLD2YZGviY9HrWHtMZ+tL75ECo9EYTXfV7j9ut5uJiQk6OzsZHh6ORm0cDoeu3wvo/3wvxlIpcpnIjP7IiJk0Yz4HJNZpr6+vT0jaiF5nzSwkskZGRjh9+jRVVVXU1CRvR1NLd9GDmBkdHaW5uRmDwcCePXtS7rwm87zEK2T6+/ujdVSxLYklSYqmo61fv55gMIjb7WZkZISenh5kWY4Km/z8/Hl38crLBdnZkdSy2MzGqSnIyRGUlSVP2A0NDdHU1MTmzZvXvPVyqomN2gwNDdHc3ExNTU20C2M6NBFI9bW5XOar45A6OzH/y79geP55MBgI33QToXvvRaxhhsBqSJtoEjPvP263m+LiYkwmE6OjozQ1NaEoCi6Xi4KCAlwuV0Lb6q+UdBYzS0VmvF5vpi2zzsiImTRneHiYM2fOJNxp1+usmdmRmdgi99raWsrKyhb568TZlGrh193dTVtbG+vXr6evr08XX+LJiszEFo0vJGSEEHR0dNDT08OePXuWrKMym82UlpZSWlqKqqpMTEwwMjJCW1sbgUAg6lgUFhZG09HKygRHjyr84AdGhBDYbBEhc/myxO/+bpgVdElfNrGtl3fu3ElhYWHiD5oi+vr6aGtro7a2Nppiq6oqw9PD+EI+iqxFM9bfals/rxXp5GRrzLZZunQJ60c/itTdDdnZIASm73wHw+uv4/uP/yCaZ5lC0rWQXqvjKyoqoqgosoanpqZwu93R9vE2my0atYknapwM0r0BwGK2a93MMuiHjJhJQ7Qdbm16/c6dOykpKUnoMdMhzUxRFJqamnC73Skrcp9tU7JRVZWWlhYGBwc5cOAABoOBnp6elNgym0SLPK1jmXaMhYSMqqo0NTUxMTGxoo5lsizjcrlwuVxs2bIFj8fDyMgIQ0NDtLa28v/ZO/PoxtLyzD/3ares3fvu8lYu21Wu8tJ2dUOahnRomg4NBBKgWWegIcw50BySaYaBcxiYzGRCTiAhgeSEGQiEECDTLKFZBuhm7YW2JC+SbXl3eZdky9q3e7/5Q3VvS/ImWVfSlUu/c/oklKukT5Z07/d87/M+b2VlJS9sHntMC5kM+OEPJXC5ALUaeOSROP7Tf4oL8ppPgxCC+fl57O7uYmhoqGjfh3yTLEyvX78Og8EAANj2b+Mfrf+I57aeA8MyaNY04y19b8F4w3iK4AVSbWuF3oCVYvrakdCCr38d1K1bIPX1AHeiHYuBnpuD7LvfRextbyvCKlMp5Ub6FOFIUdBqtdBqtXyIyf7+PtxuNyYnJ0FRFIxGIy9uihXwUcqVGYZhzqzMlG1m4qIsZkoQrj/G5/MJOr3+NMRQbTgOTmSFw2FYLBYAKGqTO1A8MZMcdjA2NoaKigr4fD7RbJbyaTNLTyw76SYajUYxOTkJlmUxOjoqiD1DrVZDrVajra0NsViMT0czm82gaRoPPVSF17ymFrGYCY2NFPIYpsfDMAymp6cRDAZFFb0sNJx4d7lcKcI0GAviE7/8BKb2plBTUQOVXIX5/Xn8+XN/jk++9JMYqh8S1UybUttkp1dm6OeeS4iY5A2gTAYQAtpqBUQgZkq5MnPauuVyOerq6lBXVweWZeHz+eByubC+vo7Z2VlotVpe2FRWVhbss1bKYuYsm1m5Z0Z8lMVMicGyLJ599lkoFAqMj48LOr3+NMRcmQkEAlhYWIDJZEJfX1/RE1SKIWaCwSAmJiZQUVGREnZQzCpROvmymWXaHxMMBvnZS/39/Xn5nMhksiN2NJfLBadzHuFwGPG4AcFgotcmXwIjGo3CarWCoihRRy/nCjcrJxwOY3R0NOUA4zcbv4HdZccl/SUopAnBqpFr4Nh34DuO72CofkiQmTZCIJbDhmw4Yo3T6YDj7g8UBVKAw7ZMKEU7H5CdKKBpGjqdDjqdDh0dHYhEInz089raWko0tNFozGsgTCmLmUxsZuWeGXFRFjMlBk3TuHLlCgwGQ0EvzGLtmYlEInC5XOju7kZbW5soblaFFhD7+/uwWCxoaGjA5cuXj1gSxPK+5SOaOVMhwyV5NTQ0FCwQItmO1t3dzaejcXY0tVrNhwjodDpB1sRFL2u1WlEI+3yRLNiGh4ePCLZN/yYIIbyQAW7bcxRazO/PH3m849LROGFTiKqNGK5b2ZAuDOIPPgjJL38JeL3AbfFCeTyAXA7m/vuLtcwUjttcU3t7oO12IBIBaW4G29OTWl0SAblUlBQKBRoaGtDQ0ACWZXF4eAi3243l5WXYbDbodDo+xKSiokLQz+FFjmYOBoMX1rZbqpTFTAlSVVVV8A2q2Coz3Ewdn8+H+vp6tN+eJSAGCjlPZWNjA7Ozs7h8+TKam5uPXQsgjlNJoYVVpkJme3sbdrsd3d3dx/6OCgVnR2ttbUUsFuPT0SwWC2iaRlVVFb+xOM+JqcfjgdVqvRDRy6cRCoVgNptPrbAZFAYQEDAsAwn94s+DsSC6DF2nPv5JM204gcNdB4USNoJfK2Ix0BYLQAjYwUEgD0lXR8TMQw+B/u1vIfvOd4CdnUQ8s0qF6LvfDebmTcGf/zwcscY9/zxk//iPoFdXAYYB0enAvPzliL3rXYCIbJlC9frQNA2DwQCDwYDOzk6EQiG+arO8vAy5XM5XbQwGQ85CpNQrM2fZzOoLmatf5kzKYqZMRoipZyYej2NychKBQAA1NTWi6wcoRGWGa+7e3NzEjRs3TkzjSj5tLvYpmZA2s0wTy1ZWVrC6uopr166hqqpKkOcWAplMluJzPzw8hNPpxNLSEqanp1PS0RQKFZ56ikYgANy8yeK4l8FFL3d1dRVVsOUbn88Hs9mM2tpa9PT0nLjJu7v5bjTaGrF0sIRWXSukEin2AnugKAoPdD6Q1XOeNtNGKDuaUMJT8v/+HxSPPw56exsgBKSqCpH/9t8Qf+1rBXl8jiOHIxIJop/6FOKvex0kzzwDSCRgXvpSsH19gj5vLiRXOCiXC/LPfha0wwGiUICiaVBbW6D/+Z/BNjaCeeABSCwWUHNzgFQKtq8P7NWrRana5EsUqFQqNDU1oampCQzDwOPxwO12w+FwIBqNQq/X8+LmPP0hpSxmzlp7uWdGfJTFTJmMEEtlJhgMwmw28z1DCwsLolhXMvkWfslibmxs7FTvrpjEjBAVq2wSy+x2O/b39zEyMlKQkIzzknxi2t3djWAwCKfTCafTiW98Yx//+39fhcslB0BDowHe9jYGH/tYDNy9dn19HYuLi+jv70dNIfKei4Tb7cbU1BTa2trOtJSaVCZ85OZH8JnnP4PVw1UwLAODyoB3DLwD97ef3/Z0UtUmFzuaUAKfnpuD8j3vARUKgSiVAEWBcjqh/MAHEGxoAHvXXYI8D8eR3z9FgR0aAjs0JOjzCEVyhYN+9lnQc3MgRiOg1YIAAMOAWl2F7FvfAr2+DsmzzwIsm/jvxz9G/BWvQPyRR4ACb9ALEVyQ3EvT1dWFYDAIt9sNl8uFxcVFqFQq/ud6vT6j9TAMU9QhzbnAMMyp/cjlnhnxUZqftDIFRyKRIBaLFXUNbrcbVqsVDQ0N6OnpAU3TohFZyeSzMsNZbORyeUYDUrmbtxiajHOtzGSaWBaLxTA5OYl4PH6kMbwUqKioQGtrK2i6Ff/wDwq43YBKxYCiYjg8lOJv/5aCShXCY49Jsby8jO3t7QsdvQy8aBXs7e3NeHbUYO0g/v6Bv8e0cxqheAjdxm7UqoUd4ChUiIAQlRnZV76SEDKVlQD3va+sBOX3Q/alLyEioJgRg201W5LXTK+tAdEo398DAJBIQFQq0HNzQCwGtq0tkaUOgDo4gPQnPwE7OJio0BRwzYWOlKYoirfEtrS0IB6P4+DgAG63G7Ozs4jH4zAYDLy4Oen6WsqVmfKcmdKjLGZKkGLcRCQSCcLhcMGfF0hc0NfX1+FwONDb25sywZym6aKLrHTyJWY8Hg9vsent7c3oRpG80So2ufTMZJtYVlFRgcHBwZI9GQSA//N/ZNjfp2EykduvQwq1moXTSeFrX5Pi+vWnQdM0WltbC5ZqWAxWV1exvLx8LqugQqrAcP1wnlaWykl2tOQwAe7vURTFV22EEgbU0lKiVyX5sSgKoChIHI6cHz+ZUhQzyZtrtrY2YRkLhwGlEgiFAEJAhUKAVJr4L+nknRgMoDY3Qc/OFlzMAIWffZSMVCpFdXU1qqurQQjhg0x2dnbgcDhQUVHBCxudTicqN8B5ySSauVyZERele6cvU1CK1TPDsixmZ2exu7uL4eFhfiBesdd1GvkQM1tbW3xPRGtra8YbCW7TJAYxc16bWaZChmuAr6+vR3d3d8ltttK5dSvxf5P1GE3TUCgAt1uJyspK1NbW4uDgAKurq6ioqOA3HUKloxUTQggcDgc/AFar1RZ7SRlzlh2N+z5SFCXY9YtcugQ8/XSqoCEkEQTQ2SnIc/DPJbSY8fsh+fWvQe3vg7S1gRkZSf3gC0Dymtm77wbb2gp6eRmIREDFYkA8DkgkYHt7T+6NKXCFO1kAiwGKolBZWYnKykp+rhY3sHNmZgaEEH5gZzweF826s+Wsyky5Z0Z8lMVMmYwoRjRzNBqFxWJBPB7H+Pj4sWVdMUZGCylmCCFYXFzE2toaBgcHUV1dnfVj5Gu+y3nWke3vJVMhs7OzA7vdjs7OTrS0tAix3KLD9fHH4y/u6wghCIcJWltjGB0d5TfL3KbC6XTCarUCAB8gcN50tGLCsixmZmbg9XoxMjJS8huH00IEfD4fKIpCNBrNKUQg9sgjkH7ta6D8fpDb10oqFAJkMsTe8Q4hX46gYoa22yH/2MdAr68nxIJUCmZwENH//t9BBJwwm7xmUl+P+B/9EeR/9megwmEQmQyorAQ0GhCpFNjff7FqAyQip+VysN3dgq0n0zUD4hEz6chkMtTW1qK2thaEEPh8PrjdbmxubsLr9SIUCiESicBkMkGr1ZbMActplRlCSLlnRoSU1h2uDIDi2cwKWQHx+XyYmJiAXq/H0NDQiZsxMQ2F5BBqTdxQQK/Xi7GxMX66ebHWkyvZVmYyTSxbXV3FysoKBgYGziX2xMo73xnDV78qwf5+wtpPUSy8XgKplMa73iWDRPLi9zF9U5GejmYwGPiZNmIXBlzPE8MwGB0dvXAWOm5jStM0VlZWcOvWLQwMDPDfj/POtGGvXEH485+H8vHHQe3tAQCIyYTIxz8OZnxc0NcgmJiJRiH/5CdBr66CtLQAMhkQDELy3HOQ/d3fIfqxj51ncaC2tkD5/WDr6hIDPXG0kZ7odGA7OgCtFojFQPR6kPp60PPzgEQCemkpsR6GASgKzMteVlCLGYCUCp7YoSgKWq0WWq0W7e3teP7556HT6RAMBrGxsQGKolIGdop5mO9Z0czBYFD019E7jbKYKZMRhRQzu7u7mJqaQnt7Ozo6Ok69kF9Um1k4HIbZbIZEIsH4+HhOGzqxiJlMK0TZJJbNzs7C7XaXnA0pE5qbgc99LorHH5dhcxOIxwkqK4G3vY3F+99/8meeoijo9Xro9Xp0dXUhFArx6Wicxz15WKeYTn3D4TAsFguUSiWuX79esp77s0i20CWn7Z000wbILPqZeeABBO67D5IXXgBYFszQEJCHTZdQYoa2WEAvL4M0NiaEA5BYr8EA6dNPI/r+9wNGY8aPR7ndkH75y5BMTgLhMIjBAOb++5VtlngAACAASURBVBF/zWtAIhEop6YgiUYBrRbU9jZgNIK9fDn1tVVWgu3uBnv9OuiZmUQ08+BgXqxvZyE2m1m2GI1GVFdXg2VZeL1euN1urK2twW63Q6vV8uKmsrJSVIItk2jmcmVGXJTFTJmMKIRoIIRgaWkJKysruHr1Kmprz04euog2s8PDQ5jNZphMJvT39+d8Iyslm1k2iWVTU1OIRqMlmViWKfffz6KzcwHf+pYHVVXtePBBDTL4WqSgUqnQ0tLCJxNxwzonJycBIGVYZzFPS/1+PywWC4xGY8YBF6UIFxvu8XiOWOhOs6OlhwicKGwUCjB3353X1yBYaIHXC8RiQNphDVEoQAUCoAKBRHxyJjAMZJ//PCS//S3YxkaguhqUywXp174GEo+j/ac/hX5vD/LbAplIJInnZtkX45ZvhwCQtjYw990H5r77cn6NuVDKiWDJa6dpmj9g6ejoQCQS4Qd2rq2t8dHQVVVVMBgMRbfFliszpUdZzJTJiHyLhng8jpmZGXg8HoyNjWU8F0QsVYdkaJrmrSLZsrOzg+npaXR0dKC9vV2wyc9i+B2dJaoy7Y8JhUKwWCxQqVQYGRkp+o0vXxBCsLCwgK2tLbznPYPQ63OflSOVSo+1o62srGBmZgYGg4HvtSnkzZoLb2hqajqzGlvKMAyDyclJRKNRjIyMQKFQnPh38zHTRiiEEjNsd3eiSnJwkNIfQ+3vg21vB6mry/ix6Pl50DMzYNvb+SQy0tgIanUV8i9+ETq/H5TJBASDgFQKKhAAWBa03Q62pQWgKNBbWyDV1WBGR3N+bUJQiBkz+eI0IaZQKNDQ0ICGhgawLMsP7FxaWkIoFDoysLPQ14PTAgBisRji8Xi5MiMyLuYu4IJz0XpmuM2pRCLBzZs3s7JUXZQ5M4QQLC8vY3l5OeOqVKaUQppZpkLm8PAQVqsVNTU1/KyhiwjDMLDZbPB6vRgdHc2LsDjOjuZyueB0OrGwsACVSpWSjpav3/Xe3h5mZmbQ1dWFZi714AISi8VgsVhA0zSGhoayroIJNdNGCIQSM6S1FfEHH4T0G99IVEQqKkAdHgIKBeJvfeuL1rMMoFwuUJEISNomkygUkKytQSaRQBoKgVIqE30wDAMil4NtaAB1cJBIfevqQvyhh0BE8jks9IwZIck0mpmmaRiNRhiNRv46xFVtlpeXIZfLeWFjMBgKYj09be2BQAAAypUZkVEWM2UyIl+i4eDgABaLBTU1Nbhy5UrWN2CxVB2SyXZNXHLT/v4+7rrrLsF7P84biSw0J4mqTIXM7u4ubDYbOjo60NLSUrI3+bOIRqOYnJwEIaSgDfAqlQrNzc1obm5GPB7n09GmpqbAsmxKOppQdrSNjQ04HA709/ejpqZGkMcUI1wPnFqtRn9/f84bstNm2iRXbdJn2giFkGlm0Q98AGx9PaTf/jZojwfswABib3oTmFe8Irs1VVWBKBSA359IJrsN5fEA0SgoqRRsfT3o259dyucDfXCA6MtfDvbKFYAQkPr6k2OZi8BFsZllg0qlQlNTE5qamsAwDDweD1wuFxwOB6LRaMrAznwMruS+SyetPRQKAUC5MiMyymKmTEbko2dmY2MDs7Oz6OnpQXNz87lujqXeMxOJRGCxWEAIwdjYWF56P8Qi+I6zmWWaWLa2tobl5eULv+nlhn5WVlYKsunNlDn3HP7v3P/FuncdHYYOvL7n9bhUcwk1NTUghMDr9abY0fR6PR8icJ6bOtcfd+vWLdy4cQN6vT4Pr0ocBAIBvgeut7dXcBGezUwboexogh6OyOWIP/II4m9+cyIOWaVKHfyZIWxPD9j+fkiefz7RM1NRAcrtBlgWRKMBFQolfvexWKIqE48DNA2ChB1NjNyJYiYZrpfGZDLxkchczx9XPeZ+rtfrBfldcZ/tk669wWAQcrn8wtqbS5Xyu1EmIyQSCX/ql+vNmGVZzM/PY2trCzdu3IAph1kCpZxmlhw/PTAwkLeNqxhtZtkkls3NzcHpdGJoaAi62zGrFxHOQldXV1fQoZ8/Xvkx/uSnfwJvxMv/2dftX8ff3P83uNl0ExRFQafTQafTobOzM8WOtri4CKVSyQubTDYUXArd/v4+RkZGzh05XgocHh7CYrEUtBfotBABoexogg/NTCwot+Q1iQSx970PRK2GxGoFDg4SaWYPPgjJv/87yDPPQLK0BPq2mKFoGmxNTSKaWaSUas8MJ6KFXDtFUVCr1VCr1XyYycHBAVwuF+x2OxiGSananPdgkPuOnCZmVCrVhXUGlCplMVOCFKtnBkh80XM5kYjFYrBarYhEIhgfH8/ZdyqWqkMymVSL9vb2MDk5mVH8dK6IyWaWLGLOSiyLx+OYmppCJBLB6OhoXiwFYsHpdPLBD62trQV73nA8jE/96lPwRX2or6zn36Nt/zY++atP4t/f+O+Q0Kk39ZPsaNPT02BZFiaTiRc36XY0bnZSOBzGyMjIhU2hAwCXy4WpqamiDnLNV4hAXsSMABCTCbEPfhDxnR1QPl9izoxWm6jAPP88qHA48f+rVInrTyQC2uEAe9ddxV76sZRqZaYQkdJSqZTv6SOEwO/3w+12Y2dnBw6HA2q1mhc2Wq0247WctfbywExxUhYzZTJCCDHj9/t53/jY2JggZVpOOIjp5nqawOIsUwsLC+jv70d9fX1R11NIuApRpollVqsVCoXiQieWAcCtW7ewsLCAvr4+QYMfMsGyY8G2fxtGlZF/LyiKgkFpwLJnGbPuWfRX95/476VSKWpqao7Y0dbW1mCz2aDT6fgNh1QqhdVqhUQiwfDwsKiH5uXK9vY27HY7rly5UpDveKYIFSIgpuvtESgKpL4+0f9yG+bKFbAyGVidDrRcnrCxqVRgjUZInnkG8de+NqXPRiyUagAAd78plE2WoihoNBpoNBq0tbUhFothf38fbrcb09PTIITAaDTy4ua0PkSuX+ak3ztXmSkjLi7uDqGMoHBf7PNauri5Fi0tLejq6hLsAp18YxbLgL2TxAM3X8LpdGJkZKRgfQJiEzMulwtGo/HEz4DX64XFYkF1dTUuX75ckieTmUAIweLiIjY3N4vWN8KCBQEBhdT3gntvWJL55ybdjhYOh+F0OuFyubC4uAggUdXp6OgQzXc1H6yvr2NxcRHXrl1DVVVVsZdzItnMtDkuRKCUNtlUJIKwwQB5ayuksRgglYLcfm8opxPU/j7ICWKGWl6G5JlnQG1vgzQ1gbl5E6RAlbZSr8wU6zMik8lSIuh9Ph9cLhffp6vRaPi5NhqNJmWdpzX/A2WbmVgpi5kSpBhfIoqiztVsTwjB6uoqFhcX0dfXh4aGBkHXxV10zhpyVUiOEw/RaBRWqxWxWAxjY2MFPdkRw9BMQgjkcjkaGhpgt9tPtCNxMb2XLl1Ca2vrhb1hcAl2Xq8XIyMjRbMtDNYMolpVDWfIiZqKGv6zchA+QLuuHb2m3nM/tlKpRHNzM3Q6HQ4PD6HT6SCXy2Gz2VLe/7NOSksFLtRgY2Oj5Pq7sgkR4D4jpfTdZA0GxFUqQK1OnWezvQ1SWQlywkEC/dvfQvb3fw/a7QZRKkH9+teQPP00Yu9/P9iBgbyvu1R7ZriKkhjWTlEUtFottFotLl26hGg0ykc/W61WUBTFV2yMRuOZB6OhUKgcyyxCymKmTMZkG8/Mzcpwu90YHR3Ny809+WRRLKQ33HP2usrKSty4caPglqliV2aST3l7e3vR29vL25FWV1dhs9mg1+shlUrhdrvR399fcLtVIeH6xliWLWj08nGo5Wr86fif4r/+/L9iy78FKS1FnI1DK9fiP9/8z5BJcrOCud1uTE5OpohTzo7mcrmO2NG4dLRS2igDiU3n7Ows3G43hoeHSz7U4DQ7GjdnIx6PIx6P532mjRAwjY3wdHWhem0tYTHTaEAdHIDa30f8DW84PgQgEoHs618H5feD7etL2NcIATU/D+k3v4nolSt5j3Eu5cqMWNctl8tRX1+P+vp6sCwLr9cLt9uNtbU12O12VFRUgGVZ+Hw+VFZWHrkWlXtmxElZzJQoxThtzyY5LBwOw2KxAADGx8fz1ujLWSDEJGaSxYPL5YLVakVzc3NBE6pOWk8hOS2xLNmOFAgEYLfb4XK5AABLS0vwer38sMZS29ieBjcgtqKiIq8Jdtnw2p7XoknThH+d/VeselbRZezCH175QwzWDub0uCf1jSTb0To6OhAOh/l0tKWlJSgUCl7YGAwG0W6KOBiGwczMDAKBwIUMNUgWK4eHh5ienkZTUxOUSmVOIQKFhABYvf9+tC0vQ26xAC4XiEaD+Gteg/jrXnfsv6FXV0FtbYE0Nb0YFU1RII2NiZ9tbubdblaqPTNnWbXEAk3T/OBg7lq0traGnZ0dmM1mSKVSmEwmRCIRtLS0wGAwlHtmREpZzJTJmExtZoeHh/xchb6+vrxv2MQWz8yJh/X1dczPz+PKlStoLOIcg2II32wSyxwOB2KxGO6++26+OuNyufhp6cnDGsWw+T8vXC9QbW0tenp6RLVJGWkYwUjDiCCPlTwXaHBw8MzodaVSmTIkj0tHs9lsYBiG97ZXVVWJzo4Wi8UwOTkJlmUxPDwsuvUJicfjgcViQWtrK9rb21MCPTgrGncdFpuwIYQgrlYj+sd/DJLUI0Pq6oCTxCdFJf5Lv3YW8Foq5grHaZTqupVKJfR6Pfx+P65fvw6PxwO3241Pf/rT+P73v49r167xaZPZWi1/8Ytf4C/+4i8wMTGB7e1tPPHEE3j44YdP/Tc///nP8aEPfQg2mw0NDQ340z/9U7z3ve/N6TVeVMpipkzGZGIz29rags1mQ2dnJ9ra2gqyYRPb4EyaphGLxbCwsIDh4WEYDIair6eQv5/kRuLTUmG46p1cLsfIyAjfN1NXV4e6ujqwLAuPxwOn0wmHw4FIJAKj0cif2pfSCTgXXZzPXiCfD3jhBRpeL4WWFhZXr5KCDzMnhMDhcGBnZwfDw8PQZjnDQyKRpMSt+nw+OJ1O3Lp1C3a7HTqdjhe3xbajcQNv5XI5rl+/XtJC+yw4u2BXVxeam5v5Py/ETBsh4MMMJBJQPh8kP/whaIcDkErBjI8j/upXA2nXabatDaS5GdTKCkh3d0LYsCyozU2wAwOJik0B1l2KokBMgTzZwlWVaJqG0WiE0WjEV77yFdhsNnzve9/Dd7/7XczOzqKzsxOvetWr8KpXvQr33nvvmdWaQCCAa9eu4Z3vfCde//rXn7mOlZUVvOpVr8K73/1ufPWrX8Wvf/1r/PEf/zGqq6sz+vd3GmUxUyZjThMzhBAsLCxgfX0dg4ODqK6uLti6it0TkkwsFsPs7CxYlsU999wjikbBQtrwMhUyXq8XVquVn4p+3A07+WbS3d2NYDAIp9OJ7e1tzM3NQaPR8Bvf47zNYmFjYwMOhyOv0cs2G4W//EsZ1tcpEALI5cDwMIsPfziGQvWhcz1yPp9PkLlAyY27yXY0l8uF5eVlKBQKXtgU2o4WDAZhNpuh0+nQ19dXkhvOTNnd3cXMzMyZMdP5mmkjBHyFeHkZsr/6K1B7e0BNDRCNQvZv/wZ6dRXRP/mT1CqNXI7Ym94E2Re+ANpmA2QyIBYD29iI+B/+YWLIZwHWXYqfrVIVYcDJQqyvrw99fX3wer0YGxvDww8/jCeffBLve9/7sLe3h/vuuw8PPfQQHn300WMf94EHHsADDzyQ8Tq+8IUvoKWlBZ/5zGcAJPpNX3jhBXz6058ui5ljKIuZEkVMPTPxeByTk5MIBAIYGxsrePOrWGxmwWAQExMTvNVEDEIGKNzQzEyFDFelaG9vz7h6lzz9ua2tDdFolO+zWF1dhUwm44WNWPoskqOXr1+/nrcKXSgEfPazMqytUejoIJDJAL8f+OUvaTQ1SfHoo/G8PG8yyXarkZGRvNitjrOjuVwu2Gw2xOPxlHS8fNq9fD4fzGYz6urqitYHVyg2NzcxPz+Pq1evZn1AJdRMGyHgLEGyp54CtbsLcruhHwCIwQB6ehr05OSR4Zns4CCiH/0oJM89B2pvD6S+Hsz4eMKeVgBKtWemlMVMJtHMBoMBDz74IB588EF87nOfw9zcHL7//e9jZmZGsHU888wzuP/++1P+7Pd+7/fwxS9+EbFY7ELP6ToPZTFTJmOOs3NxJ5QKhQLj4+NF+YKJwWa2v78Pi8WChoYGtLa24he/+IVo4ks521s+Sd6onCZk1tfX+QGRdTlsCLiY54aGBjAMg4ODA77PIh6P8yf2x02hLwQsy8Jms+Hw8DDv0ctTUzRWVym0tyeEDJCY/2c0Ak89ReOtbwXyqas5u6BSqSyY3SrZjnb58mV+jgRnR9NqtfzPhbSj7e/vY3JyEm1tbQWz0RaL1dVVrKysYHBwEEajMafHOsmOxvXanDXTJlf4qOC5OUCvf7GhH0hUYxgG9MbGETEDAKS5GfEka10hKVW7VqkEABzHWWMeQqFQSg8sRVF8SqeQ7OzsHKnk19bWIh6Pw+VyiWoYrxgoi5kyGZNuM+Ny2hsaGtDT01O0i1exbWbcIK6enh60tLQgGo0CEM+NKJ82s9MSy9L/nsPhwPb2NoaGhgQdECmRSPgGcW5jmzyFXq/Xp8T+5huuSsEwDEZGRqBQKPL6fH4/EI8nrGXJKJUE4XCicpMvMeP3+2GxWGA0Gk+0C2ZDnI1jy7eFClkFqioyGziZPkciEonwVbvl5WXI5XL+/TcajedeIzcDqaenp6iBHvkmfV5Otn1PZ5HNTBuh7GjcwRIxGkFtbqb+kGUBQkBEGLfLsmxJnsCXcmXmrPt2MBgsmOsi/V7KOSwu8iHKeSmLmRKlGB9mTswQQrC+vg6Hw4He3l40FaAR8jSKZTPjNugbGxu4ceMGn9qUfAIpBjGTL5tZpollDMNgenoagUAAo6Ojeb0RHNdn4XQ64XQ6sbCwgIqKCv7EPh+xz1z0skqlKliVoqODQKMh2N8HkoPDXC4KfX1sel+zYBwcHMBqtaKlpQWXLl3K+Xf5g6Uf4PMTn8eGbwMSWoKXNr8UHx77MOorszuBVCgUaGxsRGNjY0rVbnZ2FrFYjE9Hq66uztiOxvU99ff3o6am5jwvryQghGBubg5Op7Ngw1wLESLA9Z4wL3kJ6MnJhGWsuhpgmESDf20t2Bs3BHtNQiGW6n62lLKYyaQyU4jvRV1dHXZ2dlL+bG9vj4+LLpNKWcyUyRiaphGPx2G327G7uyuKpC6gODazeDyOqakp+P1+jI2NpVzcxDbIMx+Vq2wSy6xWK6RSKUZHRwt+yshNoW9ubkY8Hofb7YbT6YTVagWAlNjnXIeZctHLNTU1Ba1UtrYSvOIVLL79bQn8fkClIjg4oFBZSfAHf8DkpU+Zq1J0d3cLcpjx1NpT+OjTH0U4HoZBaUCMjeF7i9/DmncNX/39r0IpPV9yXXLVjhACv98Pp9OJzc1NzM7OQqvV8p+B40IkCCFYXV3F6upqXvuexABnjfR6vRgZGSnKLI3kqg13zRIiRICzmTE3b4La2ID0Jz8BbbeD0DRIQwNib3sbiAhFaqmKglJdN5BY+2mHHIWaMzM+Po7vfe97KX/24x//GMPDwyVZrcs3ZTFTJit2dnYgl8sxPj4umsFRha7MhEIhmM1myGQyjI2NHbnwcRsisYgZocMiMhUyPp8PVqsVBoMBV65cKfrNTSqVora2FrW1tSCE8LHPi4uLmJmZgcFg4Ks22cY+u1wuTE1N5TV6+SQoCnj00TgaGgh+9CMJDg+B0VEWr3kNg7vuEv4zeOvWLSwsLAhapfjy1JcRjAfRomnhf3cV0grYnXY8vfY0Xtnxypyfg6IoaDQaaDSaFDuay+XiQyTS09GSY6Y1Gk3OaxArDMNgamoKkUgkbwEO2cJdL5IPh46bacP9ndOqNnyFQyJB/M1vBvPSl4JeWQGRy8H29gICW+mEolRFgVhcCefhrH6fUCh0rpAjv9+PxcVF/n+vrKzAarXCaDSipaUFH/nIR7C5uYl/+qd/AgC8973vxec+9zl86EMfwrvf/W4888wz+OIXv4h/+Zd/yf5F3QGUxUyZjPD5fNja2oJMJsNdd92V8ym2kBSyMuPxeGA2m1FTU3PiBp07LRSLmBFyLZkKGZfLhenp6ZQBe2KCoigYDAYYDAZ0d3cjEAjA6XRiZ2cH8/PzqKys5IWNRqM5df2bm5uYm5s7M7o2n8jlwOtfz+C1r2UQiyX+t9C/8uReihs3bgjW98QSFvP786iUpVZGFFIFCAiWPEuCPE86x9nRXC4Xb0eTSqVgWRaDg4MXWsjEYjG+Ujk0NCTaU9/T7GjpIQLpQijdrkWamsAYDKCCwYJELJ+XcjRz4cmkZ+Y8B7kvvPACXvayl/H/+0Mf+hAA4O1vfzu+9KUvYXt7G+vr6/zP29vb8eSTT+Kxxx7D3/7t36KhoQF//dd/XY5lPgHx7EjLZEUhN4e7u7uYmpqCXq+HVCoVlZABChcAsL29jZmZGXR1dZ15+n4RxUymiWW3bt2Cw+Eo6uY+W46LfXa5XFhbW4NUKuWFTXIDObe5v3XrFq5fv55z4pMQ0DSQj7wBlmUxOzuL/f19wXspaIpGbUUtFg8WU/6cYRkQEFSpMgsCyIVkO1pnZyfMZjNCoRCUSiVeeOGFkplplC3RaBRmsxlyuRzXrl0rmdP0bGfapJy2x2KgJydB2+2ggkEQlQpsT0+iZ0YEFalkytHMhee0ygwh5Nw9M/fee++pDokvfelLR/7sd37nd2A2m7N+rjsRce1Ky4gKbrO2srKCq1ev8kPrxEa+bWbcvJC1tbWMB4KKSczkmmZ2UnzqcX9vYWEBW1tbuHHjRsn2FyTHPrMse2IDudvt5qOXCz1bqZBw/WGcBSlbCx4hBCueFWz4NqBVaNFX1QeZJPX0/w96/wB/9ps/w35oH3qlHnE2ju3ANurUdXhF+yuEfDmnEo1GYbVaQdM07r77bkil0iMzjThxy6WjlYoASIezy2o0GvT395fs5hM4e6YNlzAZj8chs1ggefZZEIMBbH09KL8fkueeAwgBOz5ezJdxhFIVBSzLiu7QM1MyCQAQywy5Mi9Smp+2MnknHo9jZmYGHo8HY2Nj0Gg02NjYEM0GPZl82sy4JK7Dw0PcddddGdtNxCRmckkzyyaxbGZmBj6fr2ApSIWApmmYTCaYTCb09PTA7/fzVjSGYaDVauFyufihnkLii/owtTcFCSXB9drrUEjzG/F8HNFoFBaLBRKJ5FyNp6FYCF+wfAG/vPVLBKIByGgZuk3d+MDIB9Cqa+X/3h9d+SNseDfwrblvYd27DgktQau2FZ/6nU/BpCpMck84HIbZbIZarUZ/fz+/oTlJ3M7NzSEajaako+U7hlsoAoEAzGYzTCYTent7S/L0/yTShY3X68XS0hKamppAAgHAZkOsshLQ6xMzbfR60ADo+Xmw/f2AiCyFpSpmGIYRRd/VeTjLZhYIBC7M/e0iURYzZY7AxctKJBLcvHmTvyilz5kRC/kaCskNA6QoCuPj41ldnMUmZs6zlkz7YyKRCH+aPTo6WrI3sbOgKAoymQwul4vvteE2tktLS1AqlSmxz7lsQr45+0185vnPwBlyggKFRk0jPn7Px3Fv673CvaAz4AbiarXac5/cf3Pum3hy6UnUq+vRrGlGKB7C9N40Pvvbz+LPX/bnfIVGSkvx+M3H8aa+N8HmtKFCVoGxxrFzp5hli9/vh9lsRlVV1amb+3Rxy/VabW1tYW5uDhqNhhc2Z/VaFQuv1wuz2YzGxkZ0dnaKco1CwSUMtre3o62tDezeHuhIBGxVFQheDGlhVSpIPB4Qvx+UiMRMKffMlGrFMhObWbkyIz7KYqZEydcN6ODggI+XTW9wL9Y8l7OQSCQIh8OCPqbX68XExARMJtO5NnJiEjPnsZllKmS4oYl6vR59fX0leePNFJ/PB4vFwg/npGkaarUaTU1NYBiGj32enJwEcP7Y519v/Bqf+NUnEGNiMKlMiblOh+v48E8/jG+89hu4ZLiUr5fIw20C6+rq0N3dfa7rTSgWws9Wfwa9Qg+jKtFPVCGrwCX9JTjcDsy4ZnC99nrKv2nVtaZUbAqBx+OB1WpFU1MTOjo6Mn6tFEWhsrISlZWVaG9vT7Gjcb1W3GdALHY0bjYQt7m/yOzv78NqtaKrqwvNzc0AALqyEhKNBpJIBKxanRA0DAP4/WCVSsTkciAazWmmjZCUe2YKz2lCLBaLgWGYcmVGhJTFTBkebpJ9d3c3WlpajlxEizHPJROEFg5c4EFHR8e5k7jEJGaytZllKmTcbjempqYEG5ooZrjX2tbWhra2tmO/GzU1NaipqQEhBIeHh3zFZnp6Gkajke+zOCsJ5xv2byAUC6FR08g/T72mHlu+LXxn4Tt4bPSxvL1OIDVmOpcNrz/mRyAWQIUs9RRTKVUiykbhjXhzXGnucK+1s7MTLS0tOT3WSXa0+fl5RCKRlM9Atn1HQuB0OjE9PS3YbCAxw73Wy5cvo6Gh4cUfVFSA9PaC/s1vQFMUUFkJid8PyuNBfGQEUoMh55k2QlKqoqBU1w2cXpkJBAIAUBYzIqQsZsqAZVnMz8/zjdsnTZcVs81MCOFACMHKygqWlpZw9epV1NbWFn1NQpDNWjJNLNvY2MD8/Dx6e3tTNwsXkGyjlymKgl6vh16vR1dXF4LBIJxOJ3Z3dzE/Pw+1Ws3b0bRa7ZHf8drhGmQSWcqf0xQNAoJN36bgry+Zra0tzM7OCpJEZ1AaUKeuw+rhKgzKF8MgPBEPKuWVaNIUd0O9vb0Nu92Ovr4+1NXVCfrYyXY0QghvR9ve3sbc3FxW0d9CsLOzA5vNlpfXKjZ2d3cxMzOD/v7+Y6/h7OAgQAio2VlgexuoqAA7NgYkxVIfFyLAUciqTamKglJdN3B6ZSYYDAJA2WYmQspiph9CFAAAIABJREFUpkQR6ubHzRiIRCIYHx8/9UsqVjEjxLpYlsXMzAzcbjfuuusuaHMcoiYmMZOJzSybxLLFxUVsbGyIJo44XxBCsLy8jPX19Zxea0VFBVpbW9Ha2opYLMZbkcxmMx8JnGxF6jJ2Ydo5nTIbgyUsKFB5s2AlT7ofHBw88UAjG6S0FL/f/fv4mxf+BksHSzCpTAjGgjgIH+D3Lv0eLunzb5c7ifX1dSwuLgr2Wk/jJDuay+XC+vr6sZ8BIeGGnF67dg1VVXmOufb7QT/3HKiNDUCtBjs8DFJAOxvXu3T16tWTUydlMrCjo0BfHxAIABUVQFoa4UkzbU66TuaralOqPTNnDZ4UK9z7e9J3MBQKQaFQiMIyWiaVspi5g+GaXtVqNcbGxs709Yu1ZyZX4cDNWmBZFuPj44JYQMQkZs6ymWWTWGaz2eD1ejE6OnqhS+3pc1WEil6WyWSor69HfX39iclY91Xfhx8t/wjb/m0YVAYQQrAf2kd1RTUe7n5YkHUkQwjB/Pw8dnd3BZ90/4q2RKzydx3fxU5gByqpCm/pfwvecPkNRbElcmJ8c3MTQ0ND0Ol0BV9Duh3N4/HkzY62srKC1dVVQYecnojTCdlf/iVomw24LQAk3/0u4v/xP4J96Uvz+9x4UbQNDg5mdvCgVif+O4OzZtpw1/l82NFKtcJRquvm9jcnrT0YDKKiouJCW6pLlbKYuUPhGpVbWlrQ1dWV0ZeT65lJn6ZcbHIRWT6fD2azGTqdDgMDA4KduIhNzJy0lkz7Y7j5GwAudGIZkIgln5ycRCwWO9dclUw5LvbZ5XIh6ozizcY34wnXE9gP7EMqkaKvqg8ff8nH0axtFnQNXKS23+/H6OjouSZbnwZFUfjd9t/Fy1pfhv3QPirllUd6aApFPgd/nheapmE0GmE0GtHd3c1bEtPtaFVVVcdaEk+CE21bW1uCC9STkD7xBOipKbDd3Ynhk4SAWlmB9MtfRnRgAMjj3KlCiraTqjb5sKOVAwAKC3efPGkfEAgEBL9GlhGGspi5w+DsJIuLi+jr68uq3yH5ZEpMZdbzBhNwgq61tVXwiFIxiRmKoo6tzGSTWGa1WqHVatHX1yeq915ouDhuhUKB4eHhgg1+oygKGo0GGo0G7e3tuHbtGt6480ZMrE/Af+hHh64DGq8G+4p96PV6QTYKnMWUEIKRkZG8ClQpLUWNuiZvj38W3LyoYDCYV4GaC9ysIrVajba2thRL4vr6Omia5oWNyWQ68XtICMHs7CzcbjeGh4cLI9rCYdDPPgtiMiWETOIFgbS2gnY4QM/MgH3JSwR/Wm6w88bGRsFEWzLJVZvkSo0QIQKEkJK1mYltj5ApnBg96V5YjmUWL2UxU6KcZ+PN2YTcbjdGR0eztlhwF6ezJuQWmmyFAyEEa2trWFhYQH9/f86NzkKsKZ8ct5aThMzBAfB3fyfDE09IEI0CL31pAPfcM4Ph4bqsYmtLES56mRskWMxNhEKhwKXWS7jUegkMw2B/f59PaGJZNiX2OdtBlsCLAyJVKhWuXr0qqu+z0KSLtvP8vopBuiWRs6MtLCzwCXnc54ATZ1zvn9/vL6xoY5iEtSz9c0TTACHA7U29kBBC4HA4sLu7K4pK20l2NE7gZFu1Se7LKTVKuTIjkUhOvM8Fg0GoVKoLfR8sVcpi5g6BO3EGcO6+EO7iJLa+mWxsZizLwm63Y29vDyMjI3mzJIhNzHCnfEBqs3+ykAkEgDe+UYHJSRqJP2LxL/+iws9+dg9++EMGFJV5vHOpwUUvt7a2njuOO19IJBI++YoQAq/XC6fTiZWVFczMzMBgMPA/z8QCkTwgkpuXc1GJRCIwm81QKpUlLdqS7WjJwzqTE/Kqqqqwv78PlmUxPDxcWCuoWg12YACSn/0MbFVVQsQAoHZ3QfR6kJ4eQZ8uvfokxtPy0+xo6SECxwmbs3oYxUypipmzggtCoVDRRXOZ4ymLmRLmJPtQOoeHhzCbzTCZTDnZhLgSuVg26RyZ2sy4vo9YLIbx8fG8el/F9HviE7G4adcnJJb9279JMDlJo6KCAGDAMAxUKilcLhn+4R8ofOpTsYKvvRBwccSlEDNNURR0Oh10Oh06OzsRCoXgdDrhdDrhcDjOjH3mhibeCbOBgsEgzGYz9Hr9kQHApU66HW13dxeLi4uIx+OQyWRYWFjg09EKZZVkHn4YlMMBenYWRK0GwmFAJgPzxjeCCPi9YlmWDyIRq2UwnbNCBI6zoyUHC5QapSxmTtsflXtmxEtZzFxwtra2YLPZ0NnZeeywv2wRYzxzJsIhEAhgYmIClZWVuHHjRt5v8GISM9xNJRaL8Rfq4240zzwjQUIbx8GyLORy2e3YUeCnP5VcODHDzRVaW1srSERvPlCpVGhpaUFLSwtisRjcbjcf+0zTdIodzeVywWaz3RFDE71eLywWC+rr6zMOOClVWJbFrVu3oNPp0N/fD5/PB5fLhYWFBYTDYb5yl8nA1lwgHR2If+xjoJ96KjHDxWgEe/fdYO+66+x/HI+DnpoCPB6Q5maQzk6AogCvF5Lvfx/01BSIRoPYy1+OKbkcoXD49D6vQABg2UTksgjf+/SqzXEzbSKRSDGXeG44gVaKYuasXp9yz4x4KYuZCwohBAsLC1hfX8fg4ODJmftZIsZ4Zm5NJ6Wsud1uWK1WNDU1obu7uyAbG5qmEYuJY/PPvd79/X1UVVWdeLGWyxmwbKLal7xJIARQqy+WxYxLtuJsKoVuHM4HMpkMdXV1qKurS+mxcDgcCIfDIISgublZsGuBWNnf38fk5CTa29vRVsAZJ8UgFAphYmIipfqUnI4WCATgcrmODGytqqqCTqcT/FpImprAvPWtWf0banUV0v/1v0DPzwPRKFBZCeYlL0H8TW+C4rHHQNntCWECIP7lL8P0+tej7hOfOL73aWcH0m9/G9QLL4AiBOyVK2Aefhiko0OIl5cXjrOjxeNxbG9vQ6FQgGEY3v6Uz5k2QlHKvT5lm1npUhYzFxAuWjYQCGBsbEywGRnA+ZPD8gm3OT9OzKyvr/OT6gt5Gi2WygzXK9Pc3Iy5uTm+ebympgYmk4mvUAUCAVy6tAaJZBDxuAxSaeJAMxpNPM7rXicuAZsL8XgcU1NTiEQiGB0dLQmbSrZwm1qDwQCKorC5uYm6ujp4vV788pe/hEaj4e1olZWVF6Zysbu7C5vNhp6eHjQ2NhZ7OXmF632qqalBT0/Pse8hZ0fjBrZylTuLxcJX7rh0tELZ0VKIxxNCZmoqMVxTqQQ8Hkh+8ANInn8e1MwMSH09iFSKgN8P2eEhOp98EtH/8B+OChSvF7K/+ivQdjtITQ0ITUPy85+DWl5G/KMfFdTqli+4/saVlRW4XC7eRVCImTZCcVa8sZg5qzITCATKlRmRUhYzJcxxPTOcT1yhUGB8fFzw5B6x2syAVJ8uy7KYn5/H1tYWhoaGCj6pXgxiJnkYZk9PD3p6evjm8aWlJT4RSa1WY2trCw880IStLYJ/+icKfn+iIkNRwL33MnjnO4VPIyoG4XAYVqsVMpkMIyMjxdnAFQgu7OLg4CBlyGk0GuX7bFZWViCXy3lhYzAYRLc5ypSNjQ04HA709/ejpqZ4MdCF4PDwEBaLBc3NzRn3PqVX7g4PD49cCzhbYqH6AuipKdDz8wkhwz2nwQAEg6Cfew7EZAKRSBDw+0HRNBQNDaA2N0H//Odg0sQM/dxzoOfnwV6+DNy+77EmEyi7HfTTT4N585sL8ppygQs22N/fx/DwcMr7kO+ZNkJRyr0+mVRmyj0z4uTi3snvQDg7VUNDA3p6evJyYROjmEmOjJZKpYjFYpicnEQoFML4+HhRTlKKKWa4asxxiWXJzePBYBCLi4tYX18HABwc7OM975nHffc14Be/qEQkQuHee1m88pUMLsKe3+/3w2KxwGg0Fj16Od9w1adoNIrR0VEoFAr+Z3K5HI2NjWhsbEyJfbbZbGAYBiaTibcilUKMcXLv0/Xr12HI43BGMcDZ6C5duoTW1tZzPQZN0zAYDDAYDCnDOpODJDhhkw87Gs/BQaL8m1YdJWo1cPsgxh8IQELTKddx6pioZ2pjI3G4l/yZpWmgogLUwkJ+1i8ghBDY7XZ4PB4MDw8fqRifJ0SgGNe4s+aWiZmzKjPBYLAkeyvvBC7AFqUMIQS3bt0qiJ1KjD0zyWldXGVKqVRibGysaJuxYomZZBHDreO4mwohBNvb23C73bhx4wY0Gg0/oE8q/TUeeEDBn9bTtB5AaW/8uQ3gnZDiFYlEYLFYIJPJzhz8eVzss8vlwtraGmw2G/R6Pf9zMdorCCGYn5/H7u7uhel9Oo29vT3MzMwIbqOrqKhAa2trih3N5XLBarUCQEqQhJDVTNLcnGjS93gSFZnbUAcHYOrqED84gEStTnz2KAo4PASUSjCjo0cfTKNJlJO5kjJHJAKIfAPKJbT5fD4MDw+nHD6cRCYhAsl/r1DCplSTzICzKzPhcLjcMyNSymKmhOHiG2dnZ/mbeb5PJcXYM8OdQO3v72Nubg719fVFn59RDDGTbCvj1nAcyfajkZERvqeqoaEBDQ0NR4Y0EkLytpkpBNvb27Db7SURvZwrnJjX6XTo6+vL6juQHPvc0dGBUCjEC9yFhQVUVFTwwiavp/UZwg2I9Hq9GB0dvfD2Dy5CfGBgIK82umQ7GiEEHo8HLpeLt6NlO9foNEhXF5h77oHkBz8AwmGQigpQt2flOF75SrQ9/TTUbjfg9ycGb9I0mDe8AeTatSOPxY6MQPLkk6BWVkBaWgCaBrW9DSgUYG/ezGmd+YT7HAcCAQwNDWUkZNLJZqZNvkMEzhIEYqYczVy6lNaupEwKkUgEExMTiMfjeZ+bwiFGmxmQ2IjZbDZcvnwZLS0txV5OwcXMSbaydLhp6CzLHrEfcaSf1id762dmZmA0Gvmfn+fGWygIIVhdXcXq6mrO0cvRKPDCCzS8XqCri6CjQ3zpblwfRUNDgyBxxCqVCs3NzWhubkY8Huebx7nTeu4zUMhZJhzpNrqCDogsAuvr61hcXCx4hDhFUbwdraurC8FgkBe4Docjd4FLUYh/8INAVRXon/wEVCCAaEMD7H19kDz8MKj3vQ/xf/1XSJ57DsRgAPPqV4N5zWuOjVsmra2Iv+tdkHz1qwlbGSGA0QjmzW8Ge/26QL8RYWFZFlNTUwiHwxgaGhLkc3yWHS3fIQKlXJnJJJq5XJkRJ2UxU8LMz89DoVBgaGioYJsJsYkZQggcDgcYhkFvb68ohAxQWDGTfAp3mpAJBoOwWCxQq9UYGBjIKG2Goijo9Xro9Xp0dXXxk8e3t7cxNzcHrVbLb2bUanXRT+s5WJbF3NwcXC5Xzvaj2VkKH/uYDEtLNKLRhJvlla9k8JGPxCAWLedyuTA1NYWOjo5z91GchlQqRW1tLWpra1Oax7lZJpzAraqqyns6XDQahcVigVQqPdNGV+pw/UDr6+sYGhqCTqcr6noqKir4uUbHCVyugms0GjO3+KrViD/6KPDII/Bvb2NidRVN7e24dOlSQuw8/jgyjR9h77kH7MAA6NlZIB4H290NiDQMgmEYTE5OIhaLYWhoKG+W6NOqNvmwo50lCMQMwzCnvg/lOTPi5eLeBe4A+vr6Tpytki/E1DPDnc76/X4olUpBI6hzpVBiJlMh4/F4+HCIXE7tkyePJ6diLS8vQ6FQoKamBtXV1dDr9UUTNvF4HNPT0wiHwzlHL4dCwOOPy7G4SKGhgUChSNj7v/UtCerrCR59tPgpb5z9qK+vD3V1dXl/vvTm8XSBW1lZierqatTU1Age+xwKhWA2m1FZWYmBgYGSPQHOBO6gZmdnB8PDw6K6vgGpAje9gsvZ0Thxk8kG0BOLwXLrFtpvD3g+Nzod2LGx8//7AsAwDKxWKxiGwY0bNwrW25lctUmu1AgZInCRKzPBYLBcmREpZTFTwkilUv7iUyjE0jPDbWpkMhnGxsbw/PPPi2JdHPkWM6cllqXD9Yx0d3ejublZsDWkp2Jxp7STk5MAXrQhmUymgp3UpTe/57pJ+NWvaKysUGhqIuAcIAYDEA4DTzwhwbveFUexAr/SU7wKHT/OkS5wORvS2toaZDJZyml9Lpscbq5KdXU1Ll++LJoqYD7geiG5vjaxnwanV3BDoRCcTidcLhffb5Wcjpb+OXC73ZicnERXV5eg1ygxEo/HYbVaQQjh58gUg5PsaNx9hTu0zFbYlLKYOavfJxgMlntmREpZzJTJColEgkgkUtQ1eDweWCwWVFdX81OvxTDXJZl8riebxLKVlRWsrq7i2rVrqKqqyst6gMTnoqamBjU1NXzTMGdD4mZY1NTUoKqqKm99Nlz0ssFg4D8XubK/T4EQIN3KrlIReL1AIADo9Tk/TdYQQjA3N4e9vT1RpXjJ5XI+SIJlWT5Iwm63Ix6Pp8Q+Z9MfwH3n74Q0OoZhMD09jVAodGxEbymgUqmO2NFcLhd/0MF9DkwmEzweD6anp3H58uULH9ARi8VgsVggkUhw/fp1UdmxhLKjlXIAwGmVGUJIuWdGxJTFTJmsKLbNbHt7GzMzM+jq6kJrayu/qRFbL0++xEw2iWWzs7Nwu90YGRkp6GY3uWmYsyHt7e1hc3MTs7Oz0Gq1vB1NqBvDwcEBrFYrmpub0dHRIdhmt62NQCZLiJbkpXq9FHp6WGi1gjxNVjAMw6cfiTnFK3nC/OXLl+Hz+eB0OrG+vg673Q6dTpfSb3USXD/QnXJqPzk5CYZhBKksioHj7GgulwsrKyuYnp4GANTX10NfjFOBAhKLxXg3wbVr10QlZNLJZabNRa7MlMWMeCmLmRKmGKeTxRINhBAsLS1hZWUF165dOxJNeidUZrJJLJucnEQ8Hs+5Z0QI1Go12tvb0d7ejkgkwvfZLC0tQalU8v0V54373dnZgc1mQ09Pj+AzloaHWQwPM/jVryTQ6QiUSsDjoSCVAo88wqDQ92wujY4QguHh4ZJJ8aIoClqtFlqtFh0dHQiHw7wNKflzkG5D4iySheoHKibJwQbFtB/lk2Q7mkqlwtzcHBoaGhAKhfCb3/wGKpWKr9zp9fqS3RSnE41G+flnV69eLbnXlc1Mm1KuzJwVzRwMBkVv+bxTuXhXyzJ5pRg9M5ztwuPxYGxs7NgqQ7ErRukILWaySSyzWq1QqVQYHBwU3YZIoVCgqakJTU1NfJ/N3t4erFYrKIpKmWdz1sklF73MCdx82OgkEuB//s8YPvtZ4Gc/oxEIUGhuJnj72+N46KHCft5CoRAsFgsqKioyTqMTK0qlMiX2mbOjcTYk7r3c3d0teBxxMQiHwzCbzXzSYKluBjOFi5pO7vVK/hxMT0+DZVm+sldVVVWyVapoNIqJiQn+e1vq7+1JdjTusC0UCgFIvJ/5nmkjNGfZzMpiRryIa6dTRvQUujITDodhsVhAURTGx8dP7LcQSzABh5BiJtvEsrq6OvT09Ii+ryC5z4aL+93b24PD4UAkEuF99dXV1UcqECzLYn5+nu8Z0ebR72U0Ap/4RAwf/CDg81GoqyNHemjyjc/n4/vELlrzu1QqPdJv5XA44PV6QVEU1tbWEAwGUV1dXfQqYz7gBp0aDAb09vaWzMbvvHB9fOlR0+mfA6/XC6fTidXVVdhsNuj1ev6wo1SsPtwsOI1Gk/UQ21Ig3Y62vr6O3d1dDAwMFGSmjdCcVlWKRCJgWVZ0qYJlEpTFTJmsKGQFxOv1wmw2w2g0oq+v79STaDHazLjEsfNuPLNJLNvd3YXNZkNnZ6cgs3Zut+QcN5suL5wU97uxsYHZ2dmU/gqlUompqSmEQqGC9owYDIDBUPhhmfv7+5icnERrayva29svlJBJhxCCra0tRKNR3Lw9td3lcmF3dxfz8/N87HN1dTU0Gk3J/y58Ph/MZjPq6urQ3d1d8q/nNDir8MbGxpmhFRRFQafTQafTobOzE6FQiE/J42yJnLARqx0tHA5jYmICer0eV65cudDvLQDcunULS0tLuHHjBvR6fUFm2gjNaZWZYDAIAOXKjEgpi5kSplg9M4UQDbu7u5iamsKlS5cySi8So80MOP8AsWwSyzir1cDAAKqrq3Na99YWhS98QYof/lACQoDf/V0G731vHC0thdvEUxSFyspKVFZWor29HeFwGC6XC3t7e1hcXARFUZDL5ejt7b2QJ/XJ7O7uYmZmBpcvX0ZjY2Oxl5NXklO8RkZG+PdWrVajtbUVsViM39Cur69DIpHw/RVGo7HkbHdcQtudIlK5SurIyEjWlRWVSsXbEpNj4Dk7WnJKnhjsaKFQCBMTEzAajejt7b3Q7y2QEDKcbZALckifaQMg4xCBYnFaz0xZzIibspgpkxX5tplxccJLS0sYGBjIuOlXjDYz4HxiJpvEsuQp97lardxu4O1vl8PhoKFUElAU8M//LMUzz9D4+tcjqK3N6eHPjVKpRFNTEwwGAyYmJqBSqaBUKjE9PQ2apvmT+lLc0J4G11dw9erVnEWq2OGCDQCcmOIlk8lQX1+P+vp6sCyLg4MDOJ1OzM3NIRaLnTv2uRhwc1WEqqSKGUII7HY7PzMn10pqegw8Z0dbW1uDzWZLqeJWVFQUXEgEg0FMTEygurq6JOy+uXKckEmHu4cl3xePm2nD/Z1iVG24tZz0vKFQCEqlsuiCq8zxlMVMmazIp5hhWRY2mw0ulwujo6MpfuqzEHNlJhuySSybmppCNBoVLLHsW9+SYnGRRm0tAZcbwDAEKysUvv51KT7wgeJNuz84OMDk5CSampr46GWWZfl5NqW4oT0JQggWFxexubl5pK/gIhKJRFKSnjIRpDRNw2QywWQyoaenB36/H06nE7du3YLdbodWq02JfRbThpKrtl25cgX19fXFXk5eYVkWMzMz8Pv9eZmZk25HS0/JUygU/OegEHa0QCCAiYkJ1NXVoaurS1Sfu3ywvr7OW8uyvV+fNNMm3ZGQLoTyBWfrPun6EwgEiiKOy2RGWcyUyYp8iQYulpRhGIyPj2d906NpGtFoVPB1nRfugpeNmMm00Z9LtVIqlRgZGREsseyFF2gQAiQ/nEQC0DSF5547/UayvEzhqackiESAkREWw8OsYP02Ozs7sNvt6O7uTolepmkaRqMRRqMR3d3d/IaWm2Oi1+tTTmhLAZZlYbfb4fF4zmXHKTUCgQDf/H7eQacURUGj0UCj0eDSpUsp8d/Ly8sF39CexubmJubn5++IahtnGwyHwwWLEU9OyePsaC6X64gdzWQyCb4ev9+PiYkJNDY2CjrrSqycV8ikk8tMGyHh9jUnPXYwGBTtTK8yZTFT0hSzZyaXxvZ0uJuAVqvN+GT2pHWJBe6Cm+maMhUyh4eHsFqtqKmpQU9Pj6AXdY2GADjaG0MIgU53cs/Ml74kwac/LcNtSzFkMuDVr2bwP/5HLKfUL0II1tbWsLy8fGY/UPqGljuhdTqdWFhYgFqt5je0Wq1WlBsNbmBiLBbDyMjIicl9FwUu4KOhoUHQU+zj4r/T4365DW0h+yu4z/Lg4CAfR3xRYRgGVqsVDMNgaGioKH0sx9nRXC7XETtaVVVVztU7n8+HiYkJNDc3Z9TjWeoIJWSOI5uZNkLa0bh79Un7j1AoVK7MiJiymCmTFRKJJOeUrmS42RKtra3o7Ow892OKLc0MyGxNyYllhJBThcze3h5mZmbQ0dGBlpYWwS+qDzzA4Hvfk+DwEPxke58vUZ159auPfx1TUxT+4i9kiMcBrr3J7we+/W0JBgdZvPWt56vicQ3Du7u75+oHSj6hjcVi/IbWbDbzjeNcn40YPNCRSAQWiwUymQzDw8Oimw8kNFxCW3t7O9ra2vL2POkb2uTp8zMzMzAYDPxnIV+nrskpXvnY/IkNrv+JoijRDP9MtqNxQ1uT09G46l1VVRUMBkNW14TDw0OYzWa0tbWhvb09j69CHHCivBCf5ePsaJywEbpqw8Uyn+aIKJUK/51I8a8yZXKCoii+UbwQcKcWuU755U7dFxYW0NfXh4aGhpzWJbaeGeBsMZOeWMYNGDvu73E3kP7+ftTU1ORlvS9/OYt3vCOOr3xFip2dxJ8pFMBb3sLggQeO/93+6EcSBINAff2LMc4aDRAIJATNecQMZ08JBoOCRC/LZDLU1dWhrq4upXF8dnaW77OpqakpWhJSIBCAxWLhI1zFIK7yCdcz0tvbm/P3PhuSp893dnYiGAzyG1qHw5GX6l1yitfw8PCFn1HBTbpXKBTnrrIXAi5UhKveccM6bTYbGIaByWTih3WeZkfjEukuXbqE1tbWAr6C4sDdh4aGhvI62+s4TrKjpYcInFfYnNb8D7zYM1NGnJTFTJms4L7sDMOce+PHsixmZ2f5U3eDwZDzusRmMwNOFzPZJJZxm6F8N4PTNPBf/kscr341g5//PBHN/JKXsLh+/f+z96ZRkpVVuv8TkfMQOURmRE6VU+VQOWcMWVZhgWDDEigoClGai4oI16Xdja3oasSWbrW1aVfDtcXVrhIE+rY2ekFsxQLKhoKqUgT/aMWU8zyPMWXMGdM55/+B9R4isjIjIzJjOBHn/NbiAznFeyreOGc/79772bv3vzgc731j+/ezs4HNzdiDQdI7JRaLcfTo0biLi50ax41GI1t6UlZWBrlcntCT+lDsdjt0Oh3q6uoOlJlMF5aWljA1NcWJnpHCwkI0NDSgoaHhiuxdPFzyiKGJ3W6Pi4sX1yEDIouKitJq0n1oppZhGDidzjAzidLS0rBhneQzurm5Cb1ej9bWVtTX16f4KhIPGQGQCiGzE5FMBPZTjhbJlhkQema4jiBmBGKCnHjsVziQEgSfz4errroqbjeHdMrMROtYFgwGMTg4CJ/Pl7ThkCIR0N/PoL8/Oueyvj4aIlEW/H6w/TE0Dfh8Ihw/Htv7QTIUJSUl6OnpSXgCw8b8AAAgAElEQVQwFNpn09LSgq2tLbbPJvSkXi6XJ2RAI+nj4Is97+zsLBYXF9mhelxie/aOuORNTEzA5/OFueRF08tEURQGBwfh9Xp50f9E5qqke3ZRJBKhpKQEJSUlYeVoZrOZNZOorKxEfn4+ZmZmcOTIkTBTkkxlfn4e8/PznBEy24mHicBe1SZCmRm3EcRMmpPsMjNg//bMxLayqKgIx48fj2stdbpkZqJt9Pd6vdDpdMjNzd117gYXOHmSwnPPZcFgECM//73+GrcbkMkY3Htv9FbONpsNer0+pRmKgoKCsJN6UoJ0+fJlZGdns8Im1pr6nSCuVt3d3ahK1QCfJLF9YCLXS622u+S53W6YTCasrKxgbGxsT9vnYDAIvV4PhmE4/dmNF8SRrrKyEh0dHRmVXdypHG15eRlLS0sQi8WwWCwQi8VpbQW/F0TIqFQqTgqZndiPicBeM+E8Hk/Gu0umM4KYEYiZ/YgZi8XCBquJGCSWDgYA0QoZh8MBnU4HmUyGjo4OTp9yFhUBzzzjx5kzOXj11fesmU+epPA3fxPEkSPRieyNjQ2MjIygra2NM+UaOw1oNBqNYTX1+5k4TobCLiws8MLViswZcTqdaVlqJRKJUFxcjOLiYjQ3N8Pn87EiN9T2mTSOB4NBaLVa5Obmor+/n7M9I/GCOFHW1NRk/FwV8l5ubm6ip6cHxcXFO842qqysRHFxcUb8W5B7lVqthkQiSfVy9sVu5Wjbe1YDgQD7zN7pmevxeITMDIcRxIxAzMRa0rW0tITx8XF0dnYmLCWfyGGe+4XcGPfjWEYaStPhgSiTAd/8ZgD/+I8B0HT4nJq9WFhYwMzMzJ7Wy6kktM+mo6MDTqcTRqMR8/PzGBkZidoRi2EYjI2NwWw2Y2BgIG2Dg2ghVtPBYBBHjx7NiJPrvLw81NXVoa6uLqxxfHh4mL3/FBUVobu7O+OFDLHWbmhoQHNzc1rcqw6C0WjE0NAQenp62Gxq6GyjUJGbm5vLChuuOCbGSiYIme3sVo5GURRMJhNycnIQDAZ3LEfb2tpKu8MYPiGIGYGYibaki2EYjI+PY3V1FWq1OqGn0FzNzIRONQZ2dywD3vPun56eTtvSI7H4vf+igWEYTE5OYn19Pa2m3IfW1Le2trJ9NkajEZOTkyguLmbL0UJPZ0Md2tIxQxErxMghOzsbarWaE/a88Sa0cZxkKPLy8kDTNN566620HNoaLaT5nS8uXmRw727GFdtF7k6OicREIB1EfSYKmZ0ggmVychIejwdKpZKNb7aXo3k8Hs4euAkIYibtSdXgzL2yIORU1uPx4Kqrrkr4w5yrYiYYDLLriuRYNjk5iY2NjbQK7PcLRVEYHh6Gy+VKmrFBotipz4a4o+Xk5LBuWHNzcwlzaOMaDpcDl/58CdISKY4qj6blqXQsOJ1Odvgn6fciItdsNmNqagqFhYWssCktLU3rLIbFYoHBYEB7ezsvmt9XV1cxPj6Ovr4+VFZW7vnzWVlZrK0zwzBwuVxX9FwRYcPFcjRi1JHpQgZ4P1tus9mgVquRn58P4MqZNhRF4dKlS+jp6UnxigV2QxAzAjGzV5mZx+NhZw0cP348KcEb18rMSDnZ6uoqe4K7U1AXDAYxNDSEra2ttA/so8Hv97MD9TKl9Iiwvc/GarVibW0Ng4ODAAC5XA6LxYLKysqMzFQwDIM3pt7Af/5//wmP2IMKTwVG9CO4s/NOSAsyszeIZCi2D0wMFbnBYJC1fSa24ySYraioSKtyNFIG29nZiZqamlQvJ+EQo47+/n5UVFTE/Puhjomh5Whmsxnz8/PIyclh90J5eXnK9wLfhMz4+DisVisGBgZYIQOEl6NRFIUvf/nLCAaDeOihh1K1XIE9yLwnqkDCiSQcNjc3odPpUF1dndTmdbFYzPampPqkizQYtrS0YGNjA4uLixgdHWV7K+RyOfLz8+H1eqHX65GTk8OLE3sicktKSjK+p0AsFiMvLw9WqxW1tbWora1l7V2Hh4chlUrZk/rQh2g6c3HqIv7P7/8Pcgty0VzZDC/lxbmZczBtmfDw8YeRk5VZ+9tsNmNwcHDPDEV2djaqqqpQVVUFmqZht9tZ+2+fz8fuBWL5y1VIqVUiB/dyCTITSalUxmUWGhBejkYOPMxmM1uOFroXkm3nTYQMH4a7EodF0r+42+eOpml85Stfwe9//3v84Q9/4EVJZboiisHWN7n+vwJREQwGk56R0Ol0KC8vR1NTU9jXV1ZWMDo6ivb29qR/6P1+Py5cuIAbbrghpafeuzmWhfZW2Gw2FBYWwuv1QiqVore3N6mB/fi4CL/4RTZ0OhGkUuDWWyncdhuFRC6BWC/X1tZmvOsRAFitVhgMBjQ1NaGpqSnsej0eD7sX7HY7JBIJK2y4WHYSDUajEV9//etYF61DcUjBft0T8GDFuYKvffBrUFYpU7jC+LK+vo6RkRF0d3ejurp6X3+DYRh2L5hMJk7vBZKhiLbUKt0hk+6VSmVSZiKRcjRiIuBwOJK6F2ZmZrC0tMQbITM5OQmj0YiBgYFdqyFomsZXv/pVvPrqq7h48SIOHz6c5JUKhLDn5hcyM2kOF3pmGIbB1NQUFhcXoVQqU/KwC3UnSQV7OZaFlp2sra1hZGQEhYWFsFgs+OMf/wi5XA65XJ7wevrBQREefDAXGxsiFBQAMzOARiPG+LgIX/taEIl4aVKawofhkMD7gW5nZydqa2uv+H5hYSEaGxvR2NgIv9/PBjBzc3Os1a9MJkNZWVla9Jusrq5iaHQI/kI/avLDS48KcwoRoAPYcG+kaHXxZ3l5GZOTk+jv7z/QvU4kEqGoqAhFRUVoamoK2wukBInshXjMNtovi4uLmJmZiWuGgsvMzc2xc1WS1b8YWo7W3Nx8xV4gc66IO1o8D79mZmawvLzMGyEzNTWFjY2NPYXMI488grNnzwpCJk0QxIxAzIT2zJCeD6fTiePHj6fsZhjqI59stvvVR3IsW1pawuTkJHp6elBdXQ2Koth6etJLQgKYeD+0AODpp7OxsSFCUxPDOo9ZrcBLL2XjjjuoqGfDRAtxaONLaQqxmo420M3NzWXL0EKtfoeGhkDTNLsXKioqONlnMz8/j7m5OQwoB/C7od9hzjaHqqL3nfj8lB9iiFGWl/jT7WRAAt1EBPbb9wJxxBoZGUEwGGR7K2KdbXQQUhHYp5LQUqtU9oyE7gUy58pkMmF8fBx+vz/MHe0g5WhEyKjVal4ImenpaaytrWFgYGBXUyKapvGtb30Lv/jFL3Dx4kW0tbUleaUC+0EoM0tzKIpCMBj9pPV4MDY2BgBobm6GVqtFVlYWlEplypu5X3vtNVx99dVJndIbOoAL2N2xjKS219bWoFAodixdoGkaNpuNLUEKBAJxDWDcbuDGG/PAMECoSzbDAPPzIvzDPwTwv/5XfEoWQ69XqVRmfCBETvxWV1fjcr0Mw7C9FSaTCR6PB1KpFHK5/MABTDwIvV4yGfyNuTfwlO4plOSVQF4oh5fyYt42jzZpG751zbdQmJO+9sQkEFpZWUl6czTDMHA6nexecLlcKCsrY+8Nibjfkesl7y8fmsFnZmbY95ergT3DMHC73exeIOVoZC9IJJKoMvsMw2B2dpY3QgYIz0Dt9plhGAaPPvoonn32WVy4cAHd3d1JXqXALuy5qQUxk+bQNI1AIJDU15ycnITL5YLdbodMJkNXVxcnymHeeOMNHDt2LGkPXpKRoSgq4iBMMmPE7XZDqVRGZVNNaqiNRiOMRiPcbveBm8Z9PuAjH8mDz/feoMv31wcsLYnwT/8UwB13HFzMhFovR3u96QxN0xgZGYHdbodKpUrI9YYGMKS3ggiboqKipJab0jSNsbExWK1WqFQqNjCgaAq/mvgVXpt9DZveTeRk5aC1vBX/u/9/o7mseY+/yl2IfavFYgm73lTh9XrZvWC1Wlnb58rKSpSVlR14L5DmaKPRCLVanfLrTTREmJMT+3S6XlKORv7Lzs5mhc1umf10EW7xJBpzA4Zh8Nhjj+HMmTN488030dfXl+RVCkRAEDOZTirEjF6vx8bGBtrb269obk4lFy5cSNqclt0a/bfj8/nY4YH9/f37zq7s1DRO+mxiefh+5zs5+H//Lwv19Qxyc9/LyqyuilBczODFF3046KxOv98Pg8EAhmGgUChSnq1LNGSeUiAQgFKpTErGxO/3s8GsxWJh+2xIz1UiDxYoisLg4CC8Xi+USuWOotrkMWHJsYSC7AK0SduQLeZeeVy00DTNCnOVSsU5t7FQ22ez2QwAYbbPsZYmMgyD0dFRbG5uQq1WZ7xVPBFuJpMJarU6rQ9eSDka6bXZySkvVMikm3DbL9EMAGUYBt///vfxb//2b3jjjTegUqmSvEqBPRDETKaTTDFDboSzs7MoKSnB8ePHk/K60XLp0iX09fVBKk3sTItohYzT6YRer0d5eXlcs1ckmDUajbBarcjPz2dP6fcyENjYAB58MBfDw2IwzHtiprSUwcMPB3H69MGyMh6PBzqdDsXFxejp6clo62XgfaGam5uLvr6+lPS0hPZcmUwmAO8Fs3K5PO4zTAKBAPR6PQBAoVBkvJU4RVEwGAzw+/1QqVScF+a7lSZGm83lunCLN6EZt0jN4OkIKUcjwsZut6O4uBhZWVlwuVw4evQoLzIybE9fhB4ohmHw7//+73jsscfwP//zP/jABz6Q5FUKRIEgZjKdZIkZUjq0ubmJ2tpaOJ1OqNXqhL9uLLz11lvo7OxMmJsacSwj5geRGv3NZjOGhobQ2NiI5ubmhGWvQk9mTSYTxGIxK2ykUumOAsrlAt58MwsTEyKUlADXX0+hre1gH2+73Q6dToeamhq0t7dzJluXKNxuN7RabdyF6kEgwazRaITJZGKtv0kwe5CskdfrhU6nQ35+Pvr6+jJeqIYKN6VSyUnzhb0gpYlmsxk2mw3FxcXsXtjeW0Eybj6fLy2E20EJzUBFmjOSKfh8PoyOjsJqtUIkErGDnBNlNMMFiL22Wq1GSUnJjj/DMAyefPJJfOc738Fvf/tbXHXVVUlepUCUCGIm02EYBn6/P6Gv4fP5oNVqAQAqlQpmsxkrKyucO8F4++230dbWlhDXrFgcy5aXlzExMYGurq6kTskOdb0xGo2gKAoVFRWQy+UJnTpPrJdbWlp4MVSMzMypq6tDa2srZ4Wb2+1mhY3D4UBJSQlbjhZLeQkRblKpFJ2dnZwQbomE3O8ySbj5/f6wcjRi9SuTyVBSUoKhoSFQFAWlUpnxGTfS4+Z0OnmTgSIuXqR0kBjNhJajkfLETPj3WFpawvT0dEQXPoZh8Oyzz+If//Ef8corr+Caa65J8ioFYkAQM5lOosWM0+mERqNBeXk5Wzq0vr6Oubk5zp1i/PGPf0RTU1PcBUQsjmXE4am/vz+lMxmIAxIJZomBQLzdsMiU7O7ublQdtOEmDSC2yek2M8fn84U1jefn54f12ewmyEjGjevCLV5sbW1Bo9GgtLQU3d3dGSncth96+Hw+5OTkoKWlBVVVVRmdlSGldG63GyqVKuWugIlmu5DZfoix0+DW4uJiVtiUlJSk3Wd+eXkZU1NTEQeeMgyDn/70p3j44Ydx9uxZXHfddcldpECsCGIm00mkmDEajTAYDDh8+DAOHz7M3tSMRiMmJydx9dVXJ+R198uf/vQn1NXVoa6uLm5/MxbHsuHhYTidTiiVSs41Vm53wyopKQlzw4qVUOG2m9V0pkGGJaa7cCN9NkajkW0aD51nQzIRFouF/fw3NTWlcMXJweVyQavVQiaToaOjI+2CuFjx+/3QaDTIzs5GeXk5LBYLnE4nSktL2f1QWFiYMf8ONE2z5hV8KaWbmprC+vp6xLkqoQQCAbbPxmKxQCwWhxlKcD1LubKygomJCahUqohC5uc//zm+8pWv4KWXXsL111+f5FUK7ANBzGQ6iRAzDMNgfn4e09PT6O3tRXV1ddj3LRYLRkZG8KEPfSiur3tQLl++DLlcHrcT81gcy/R6PcRiMfr7+zn/kAw9pbdYLCgsLGSFTTQncRRFYWRkBA6Hg5PCLd6QmQyLi4tQKBQZNQWdpumwPhufz4eKigrk5uZidXUVXV1dqK2tTfUyE47D4YBWq8WhQ4fQ0tKSMQH8bni9Xmi1Wtasg2SgvF4vG8yGZvCIuUi6ZqpITxAxc8j0Urr9CJnthM49M5vN8Hq9KC8vP9B4gESyurqK8fHxiANtGYbBiy++iC984Qv45S9/iZtuuinJqxTYJ4KY4QM+ny9uf4vUE5vN5l3rTW02G3Q6HT784Q/H7XXjgU6nQ3l5eVxOkaMVMi6XCzqdDmVlZWlZlkIMBMgpfVZWFitsysvLr7ge0hjNF+tlmqYxPj7Ofh4y2QGIOCBNTU2xGZuysjI2eMlU0Wq1WtkMFB96vkgpXVlZWUTzit2c8vZr+5wqKIqCXq/nTU8QGVhM5gTFy256u6FEUVFRWN9VKg8A1tbWMDY2BoVCEdHN9Fe/+hX+6q/+Cs8//zxuvfXWJK5Q4IAIYoYPxEvM+P1+6HQ6UBQVsTHS6XTi3XffxQ033BCX140XBoMBEokEhw8f3vffiMWxzGKxYHBwEA0NDWFleOkKqaUngzppmg6z+Q0EAtBqtSgqKkJvby/nSw4OCjnN3dra4k2jMMlAkRkyZrOZtQAnwxmjsQBPF0gP1JEjR+JanspV3G43NBoN5HI5jhw5EvV7uJvtMxE3XLU1DgaD7OFLurrSxUKihMx2SDka+S+0HE0qlSb133l9fR2jo6Po7+9HRUXFrj/38ssv4/7778fPfvYz3H777Ulbn0BcEMQMH/D7/YjhfdwRl8sFjUaDkpIS9Pb2RrwZud1u/OEPf8CNN954oNeMN0NDQ8jPz0dbW9u+fj8Wx7KVlRWMj4+js7MzI8twGIaBw+Fgy488Hg+A907qe3t7M75x1u/3Q6/XQyQS8WKmCsMwGB8fh8lk2jEDtZMFeLpbu66trWF0dBQ9PT1p3QMVLU6nE1qtFrW1tQc2cwhtGufaKT0hGAxCp9NBLBZDoVCk5R6NhWQJme2QcjRSnri1tRU2rDORQndjYwPDw8Po7++POJLh3LlzuPfee/GTn/wEH//4xxO2HoGEIYgZPnBQMWM2m6HX69HQ0IC2trY9H0RerxeXLl3CRz7yEU6VVY2OjiIrKwtHjhyJ+XdjcSybnp7G8vIy+vv7Ez6gkwuYTCYMDg5CKpUiEAjA4XCgtLSULUdL56nZO7G1tRXWT5DpQRBxeCJWtXsFH6G19KTPhpzKVlZWpkXpIXHh2+s0N1MgrnQNDQ1xn3u1U9N4qoUuySLn5OSgv78/4z/DoUIm1QNAQ4d1hgrdysrKuGZ0jUYjhoaG0NfXB5lMtuvPvf766/jUpz6Fp59+GnfffXdcXlsg6Qhihg8cRMwsLCywDk3RZhgCgQDefPNN3HDDDZxK24+Pj4NhGHR2dsb0e7E4lvGp8R3Y2cHL6/WG2fySh5VcLr9iGF+6QU6vq6qqYirDSVeCwSAMBgOCwSCUSmXMQoRhGLhcLnY/EDcsrgpdhmEwNzeHhYWFiNatmcTm5ib0en1SeoJCha7RaITf70dFRQUbzCYjo+v3+8PmBHHpwC0RMAyDiYkJmEymlAuZ7QQCgbD5RiKRiN0LB+m7Igdsvb29EefKXbx4EXfddRfOnDmDe+65J+Pv5xmMIGb4QCAQYEujooU0Nq+vr0d0/9jtd19//XV8+MMf5lS50dTUFHw+H3p6eqL+nWgb/UnZEQBeNL6TDNTKykrEmTnkYUUMBHJyclhhU1ZWllaBBOmBampqQlNTU8Y/+EjQR06v43EwsV3oxuqUl0jI6fX6+jpUKhUkEknK1pIsiL12e3s7Dh06lNTXJoYSZD+EDm4lhhLx3g/EbrqwsBC9vb1pdf/ZD1wWMtshzolE2Oy378psNsNgMOxZHvr73/8ed955J37wgx/gvvvuy/j7eYYjiBk+EKuYIY5UPp+PnQgcCwzD4LXXXsOHPvQhTp28zszMwO12o6+vL6qfj8WxTK/Xo6SkBN3d3RlfskAc7ex2e0wZKJqmYbVa2T4bhmHCDAS4/O9G+icytQdqO6SUTiKRhFnzxpNgMMiWm5AmYSJ0pVJpUgNNmqYxNjaGzc1NqFQqTt23EgUpw+nq6or7IOH94PP5wsrR8vLyWGETj4MPn88HjUYDiUSSls6SsZJOQmYnSN+V2WzG5uYmioqKWGGzWzkaEeddXV1XjIwI5e2338bHPvYxPPbYY/j85z8vCJn0RxAzfCAWMeN2u6HValFYWHig09jz58/jqquu4pRV7dzcHGw2G5RKZcSfi8WxjNi2Hjp0iBcT0AOBAAwGAyiKgkKh2HfmjbgfEWc0Mr9ELpdzrq9ifn4es7Oz6Ovri9hEmimkopQudOq8yWRCIBAI2w+JNFigaRpDQ0Ps1PdMd6UD3hfne5XhpAqKomC1Wtn9QJwTie1zrPvB6/VCo9GgtLQU3d3dGX+fJoYdFotlXweSXCMQCLD7gdjCb7cBJ0Kms7Mzojh/9913cfvtt+PRRx/FAw88kPF7gScIYoYPRCtmLBYL9Ho96urqDhzEXLhwAWq1esc5NKlicXERJpMJarV615+JxbFsdXUVY2Nj6Ojo4IVt69bWFnQ6HQoKCtDX1xe3TEpouYnRaITT6URZWRlbfpSqB3Fo2ZFCoeDUXk4UpH+isbEx7o3g0UL6bEgGz+VyJWw/HLQnKB0hfW7pYm5AnBOJsHG73WHDGffaD2RujlQqRWdnZ8YHr5kmZLazkw14cXExXC4XWltbI86R02g0uO222/CNb3wDDz74YMbvBR4hiBk+EAwG2SzDbiwvL7OBeX19/YFf89KlS+jr6+OUm9fy8jLW1tZw9OjRHb8fi2PZzMwMlpaW0NfXlxYBwUFxOBzQ6XSQy+Xo6OhI6EOA9FUYjUZsbm6iuLiYLT8qLi5OWqZgeHgYDoeDN2VHZKZKKvonIrG1tcUGLqTcJB6GEoFAADqdDllZWXHrCeI6CwsLmJ2dhUKhiKkPkkvsth926rvyeDzQaDSQyWS8MOxgGAZjY2OwWq0YGBjgRZZxfX0dw8PDKCwshMfjYeddeTwedHV1sVk8vV6PW265BX//93+Phx56KOP3As8QxAwfiCRmSF3tysoKFApF3ALzt956Cx0dHREtEZPN6uoqFhcXcfz48Su+F4tj2ejoKFuuxqUyukRhNpsxODjIuh0l8yFAbF2NRiMsFgtyc3PDDAQSsZbQUjq+nNaTLCPXZ6pst/nNyspi90N5eXnUfRA+nw9arRYFBQW8GPBKXNrIwNNMyTJud8MKHc6Yn58PvV6P6urqqEYKpDt8FDI2mw1arZY9gAmdd3XPPfdgbW0NJ06cwLFjx/CDH/wAf/d3f4evf/3rGb8XeIggZvjAbmKGlFh4PB6oVKq4Wgm/8847aGlp4VRgtLGxgZmZGXzwgx8M+3osjmUGgwE0TR+oXySdWF5exsTEBLq7uyM2VCYDUkdPyo8AhDWMxyMg9Xq90Ol0yMvLQ19fHy9O6+fn5zE3N5d2c5FInw3ZDxRFhdn87tZX4fF4oNVqUVZWhq6uLl40gk9PT2N1dTWjXdpCbZ83Njbg8/lQWFiIxsZGyGSyjL5f81HI2O12aLVatLa27lhNEgwGcfHiRTz//PN44403YLVacd111+HUqVO49dZb0dramoJVCyQIQczwgZ3EDKkjzsvLS8gE83fffRf19fWccn4ymUyYmJjA1VdfzX6N9MfsJWTcbjd0Oh3r7sSHk1xSSsfFkhSGYWCz2dhANnQwo0wm29d+drlc0Ol0bG09H4LcqakprK2tQalUoqSkJNVL2jcMw8DpdLL7Ybe+CpfLBY1Gg+rqarS3t2f8CW2oo1W8D6y4itPpxOXLl1FdXY38/HzW9lkikbD7IVnlqsmAj0LG4XBAo9GgpaUFDQ0Nu/7cxMQEbr75Ztx///347Gc/i1dffRWvvPIKLl26hMOHD+PUqVP4+Mc/jg984ANJXL1AAhDEDB+gKArBYJD9/83NTeh0OlRXV6OjoyMhQduf//xnVFdXx6X/Jl5YLBYMDw/j2muvjcmxbHNzEwaDAbW1tbwoV6BpGqOjo9jc3EyLUrqdGsZJICuXy6N6uNtsNuj1ehw6dAgtLS28eY9tNltG9gSRvgqj0QibzYbi4mJIJBJsbGygoaGBN+8xsZvOxEbwnXA4HNBqtayBBcHv94fZgJNyVZlMFlN5ItdgGIb9HKvVal4Jmb2GvE5PT+Pmm2/GJz7xCfzrv/5r2HvsdDpx/vx5vPzyy6irq8M///M/J2PpAolDEDN8IFTMrK6uYmRkBO3t7Qmd9qzVaiGVSiM6iyQbm80GnU6H6667LmrHMmJheuTIEU41RScK0i9C3J3SsTRjp0BWLpdDLpfvOIjPaDRieHgYbW1tnBLfiYKiKAwODsLr9UKlUqXlexwLgUAAc3NzWFhYgEgkCptfks6BbCSIgYXL5YJarc749xh4//6+V5BLUVSYDXi05Ylcg49Cxul0QqPRXCFWtzM3N4ebbroJd9xxB77//e9n5GdcIAxBzPABiqIQCAQwNTWFxcVF9Pf3J7wx32AwQCKR4PDhwwl9nVhwOBz405/+hOuuuy4qx7LZ2VksLi6it7eXF/NFvF5vWFN0JvSLkBNZYiCQl5fHCpvS0lKsrKxgcnISPT09nJy3EW+Ig5dIJEpIeSkXIWK1o6MD1dXVYfNLKIpiyxMrKyszYs8Tserz+aBSqXhhYEEsxXfrn9gNUp5I9gOxASdil6sZSz4KGZfLhcuXL6OhoSFiXLGwsICbbroJt9xyC374wx8KQoYfCGKGD/j9fmi1WjgcDqjV6qSUDQ0PDyMvLw9tbW0Jf61ocblcePvtt/GBD3wgoqVraJrH+aoAACAASURBVJmVQqHI2IbZUJxOJ3Q6HSorKxNWephqKIpinW5IIMswDFt3nel9UESsFhYW8sLBC3gvEz0+Pr6jWN1pfolUKmUD2XQMEIPBIPR6PWiahlKp5IVYtVqt0Ov1cbEU39raYsvRrFYra/Mbaep8smEYBiMjI7Db7RgYGOBF1o30upEy4N1YWVnBjTfeiBtuuAFPPvlkRj7HBHZEEDN8YHl5GbOzs0m1mR0dHYVYLEZHR0dSXm8vGIZBIBDA8PAwzGYz8vPz2RP60NkEmVBmFSvEerm5uRlNTU2ceGAnEiJWzWYzKioqYLPZEAgEwk7oMy0IdLvdbOknH8wNgPdOaGdmZqBQKKJyafN4PKywCS1PTJeG8dC5OQqFghdildy7Ojo64m42E2rzS6bOE2EjlUpTksUjQoYcTPLh+eR2u3H58mXU1dVF7HVbW1vDTTfdhKuvvhrPPPMML/a/AIsgZvgATdPw+/1JfRhPTEyAoih0dXUl7TV3Y7tjGU3TbOmR2WxGVlYWK2pmZ2dRXFzMm5PrlZUVjI+Po6urCzU1NaleTsIJ7RdRKpXIz88PMxAwGo0ZcUIfit1uh06nQ11dHVpbWzkflB8UUiK6tLS075kqoQ3jFosFOTk5rLApKyvjnBgk2XdiKc6He5fJZMLg4GBS7l00TYdNnfd6vZBKpWEzbRINH4WMx+PB5cuXUVNTE/Hetb6+jpMnT2JgYAA/+clPeLH/BcIQxAwfoGkagUAgqa85PT2Nra0t9Pb2JvV1Q4nGsYymaVitViwvL8NkMkEsFqOqqgpVVVVxm13CRUJ7gtJtvsh+8fv9YRPfI80hIQYCdrsdEokkzEAgnbBYLDAYDGhpaUmo4QdXIFbERqMRKpUqLiW1ZL4RCWRpmmaFbkVFRcr7bEj5YHFxMXp6ejgntBKB0WjE0NBQyoa8ut1udj/Y7XYUFxez7omJyOLxUchsbW3h8uXLkMvlEW3UTSYTTp48id7eXjz33HMp/zwKpARBzPABhmHg9/uT+ppzc3Ow2+1QKBRJfV0CwzBRO5atr69jZGQEbW1tKCkpwcbGBkwmE/x+PyorKyGXyzOmORhIP+vleLC1tQWtVguJRILu7u6oRarf72eFjdVqZcsTuVRDvxtkX/Ml6xZqN50oK2KGYcJO6D0eD6RSKXuPSHYWj8wLKy8vR1dXF6f3Y7xYX1/H6Ogoent7E25kEw07ZfFIxkYqlR5YXDIMg+HhYTidTt4JGZlMhiNHjuy6ry0WC2655Ra0tbXh+eefz7jyYIGoEcQMH0iFmFlYWIDZbIZarU7q6wJgszHROJbNzc1hfn7+igfjTqVHFRUVbCCbrg5BwWAQBoMBgUAACoUi7UuoosHhcLBzlQ4yKDG0hp5k8ch+iEfQEk8WFxcxPT2Nvr4+XjjxURSFoaEhbG1tJdVuevsJPRnMuJsNeLxfW6PRQC6XRwz4Mgli6MDVfU0y/UTcBAKBMNvnWJ8bNE1jZGQETqcTAwMDafvciQWv14vLly+joqICHR0dEee/nTp1CocOHcIvf/lLXvzbCOyKIGb4QCrEzPLyMtbW1nD06NGkvi7JyFAUBbFYHNGxbGxsDBaLBUqlck/HMhK0GI1GOBwOlJaWoqqqKmy6ONfxer3Q6XRsXX2mZJoiYbFYWHODxsbGuAV8NE2zsyqMRiM7qyLVWbzQfhGFQoGysrKUrCOZcMXBi2TxyAl96DybePfZOJ1OaLVa1NbW8qIPCnivv29iYgL9/f2oqKhI9XL2ZKdhvqWlpeye2KtklcwKcrvdUKvVvAjWiZAhRiW77Wu73Y7bbrsNMpkMv/71r3mRrRKIiCBm+EAqxMza2hoWFhZw/PjxpL0myciQRv/dboSBQACDg4P7zk54vV42iN3c3AwbysjVki0+WC9vhww8TXSZVajFr9FoDCs9kslkSXvQMgyDsbExmM3muPWLcB3SB5WTk4P+/n7O9LhttwEHEOaWd5B12u12aLVaNDU1RRwcmEksLS1hamoKSqUS5eXlqV7OvvB6vWG2z/n5+WG2z6H3ZD4KGZ/Ph8uXL6OsrCxiyaTT6cTp06dRUlKCs2fP8qK6QGBPBDHDF3w+X1Jfz2g0YmpqCidOnEjK6213LNvtRri1tQWdThe3wZCBQIANYi0Wy66Wz6mEZCfI1GQurCmRMAyDhYUFzM7OpuQUd3sWr6SkhBU2iTIQoGkaQ0NDcLvdUCqVaZMtPAjp0vhO+mzICT1xwiKBbCxilwyHJLOR+MDi4iJmZmagVCozJtMYDAbDTCWA98VueXk5xsfHeSdkNBoNSkpK0N3dveszyuVy4Y477kBubi5eeeUVzg41FUg6gpjhC36/HzG8lwfGbDZjdHQUH/rQhxL6OtE4lhFsNhv0ej2qq6sTUmNOUVSY5XN2djZbP58qO9fV1VWMjY3xpgmcYRhMTk5ifX0dSqUSJSUlKV2Pz+cLKz0qLCxkhU28xG5omZVCoYgq+FlaEmFiQoT8fKC/n0a6zYUlc3MqKioilqNwEbfbzQobInZDS492uxYyU+XIkSOoq6tL8qpTw/z8PObm5qBSqfZlsZ0ObDeVcLvdyMrKQnNzM2pqajI+8+D3+3H58mVIJBL09PTsuv89Hg8+9rGPAQBeffVVXmSeBaJGEDN8IdliZnNzEwaDAdddd13CXiMWx7KNjQ2MjIygtbU1KSeapBGUBC0Mw7DCJhmWz3y0XqYoim2WVSqVnDu1IwYC2+cbkdPY/Yhdn88HnU6H3NzcqPqgKAr4v/83C6+8kgW7XQSxGKirY/DAA0EcO0bv99KSCukXqampQVtbW1oJme2Eit3tpUdlZWXstREr4u7ublRXV6d41cmB3L/UavWePY2ZAMmuulwu1NTUwGq1ssNbyZ6QSCRpvd+34/f7odFoUFRUFDG7urW1hb/8y7+E1+vFb3/725QfUglwDkHM8IVkixmHw4E///nPuP766xPy92NxLCMlR6my8mQYBjabjRU2ibZ8DjU34EvvRCAQgMFgAEVRUCqVnC/NIAYCxC2Ppml2T0Q7u4TY8paWlqK7uzsqMfTaa2J873s5KClhIJMBwSCwsCBCRQWDJ57wIwUjO2LCZrNBp9OhqakJTU1NGRXY7dRnI5PJkJ2djaWlJfT19UEul6d4lYmHYRjMzMxgZWUFarWaF/cvImSIGx+5fwUCgTDb56ysrDDbZ670iO2HQCAAjUbDlnzvdv/yer24++67YbPZ8Prrr2dshk7gQAhihi8kW8y4XC688847+MhHPhL3vx2LY9n4+DhMJhMnSo6AxFs+B4NBDA4OwufzsRPuMx3i0pafn5+W08+JgQARu1tbW2EGAjvtCZKdqKqqiqlk8u/+LgeDg2K0tr5/L6BpYHJShC9+MYjbb6fidl3xhpRZtbW1ob6+PtXLSSjkAGR2dhZWqxUikYgNYtPZGn4vGIbB1NQU1tbWMDAwkHZDavfDbkJmp58jDoqhts9kX6TTnggEAtBqtayz5m5Cxu/341Of+hTW1tbwxhtvpK35g0DC2fMBmPnerTxBJBIlVcxkZWWBpmkwDBPX09NYHcv8fj+OHTvGmaBeJBJBIpFAIpGgpaWFbRZfWVnB2NgYysrK2CA21ibuUOvlo0eP8sJ62eVyQafTsVaeXG0Cj4RIJEJpaSlKS0vR1tbG9lSQPVFaWsruicLCQrYJfD/ZCYtFhO3bSiwGGAZwOOJ8YXGEbwNARSIRHA4HO/E9Nzc37D4Ri8VvusAwDCYmJmA0GnkpZNRqdURbcbFYjIqKClRUVODIkSNwuVwwmUxYXl7G2NhY1L1XqSYYDIaVxkYSMvfeey+Wl5fx5ptvCkJG4EBkfjQkkBDI6ThN03E7KY/VsSw/P5/zQX1RURGKiorQ1NQUZvk8OTkZk+VzJgT1sUKC+vr6erS0tHD24R0rRUVFaG5uRnNzM7snTCYTpqamkJeXB5/Pt+8yq64uGufOZaG2FiC/6vUCWVlAYyM3k+vLy8uYnJxEX18fJya+JxoyzJf0i5CMcnFxMZqbm8P6bGZmZlBQUBBm8ZuOnwNiK26xWHD06FFeuPHRNI3BwUF4vd49hcx2Qg/FDh8+HLYnZmdnEzrj6CAEg0FotVpkZ2dHFDKBQACf/exnMTMzg4sXL6bFXCEBbiOUmWUIgUCAbZRPBhRF4fz58/iLv/iLA6e/Y3Ess9vt0Ov17FRsrtzEYyUWy2er1QqDwYCGhgYcPnw4LYOZWDEajRgeHkZ7ezsOHTqU6uUkhcXFRUxOTqKkpAQulws5OTkxu+WNjorwzW/mwGwWQS5nEAi8l61Rq2k8+mjgiqxNqiFuVgqFghcns6FlVtH0ixBTCRLIisVitvcqXXoqGIbB6OgoNjc3MTAwwJkseiI5iJDZC4qiwmyfST+eTCZDRUVFyobKUhQFrVYLsVgMhUKx694MBoP43Oc+h8HBQVy4cIE3hhcCB0LomeELyRYzDMPgtddew7XXXnugU7ZYHMtIgEtmMGRKUB/J8tnr9WJsbAydnZ2ora1N9VKTAhmg19PTw5uG6Pn5eczPz7POdDu55YUaCEQKYnU6EV54IRuTkyLk5AAnTtD4xCeCqKxM4kXtAcMwmJ6exsrKClQqFSf63RINwzAYHx9nh57GWmZF0zRsNhsbxPp8PrYfr7KykpM9FTRNsw6EKpWKV0LG5/NBpVIlVFyEDvQlts/l5eVs1iZZGTCKoqDT6QAASqVy1/sTRVH4m7/5G7z77ru4dOlSUp5pZ86cweOPP461tTV0d3fjiSeewDXXXLPrz9tsNjzyyCP41a9+hc3NTTQ3N+N73/seTp48mfC1CuyKIGb4QjAYZDMbyeL111/HBz/4wX270cTiWEYGq2V6gBsaxK6vr4OiKFRUVKC+vj5tTmL3C3E5Wl5ehkKhyJgBepEInZujUql2tKgNHcpoNBqjCmIZBrDZgLw8gGMO1gcO6tMRmqYxOjoKm80GtVp94CCTGI2QINbpdF7Re5VqQqfcq1SqmIaHpis0TcNgMMDv9ydcyOzE1tYWuyc2NzdRVFTECptEDXmmKIqdg6VSqSIKmS9+8Yt46623cPHixaSYfLzwwgu45557cObMGZw4cQJPPfUUnnnmGYyOju44wsHv9+PEiROQy+X4+te/jkOHDmFpaQkSiQT9/f0JX6/Arghihi+kQsy8+eabOHr06L5OVWNxLCNNowqFghe2jaEuba2traw7WiAQSKjlcyohdtNWqxVKpZI3dq0kwFWpVFEFoAzDhA1ldDqdBzKVSDYkwCUn9VxfbzwgTeBk4nsigvrQ3iur1YrCwkI2u5uoIDYSoWVWkRy8MolUC5ntBAIBtkTRbDZDLBazwiZeB2MURcFgMCAYDEKlUu36TKJpGl/5yldw/vx5XLx4EU1NTQd+7Wg4duwYVCoVfvSjH7Ff6+zsxO23347vfve7V/z8k08+iccffxzj4+Mpf/8EwhDEDF9IhZi5dOkS+vv7Y651j9axjNgQe71eKJVKXgQ+u1kvk5PYjY0NtpwgnpbPqYQ8EPlkNx16zQc5tQ41ldjc3GQH8BFTCS6VYpJrJsFeOu/ZaEnFNQeDQXZ2SaKC2EhQFMU6TXIhqE8GXBMy29mtRFEmk6GysnJf9x9yzYFAYE8h8/DDD+Pll1/GxYsX0dLSctDLiQq/34/CwkK8+OKL+OhHP8p+/Utf+hL0ej1+97vfXfE7J0+ehFQqRWFhIX7zm99AJpPhE5/4BB5++OGMropIAwRrZr6QiqBFLBbHLKCidSwjNsS5ubk4evQo5x4OiYBMe8/JycHAwEDYNYe627S2tsbV8jmV+P1+6HQ6ZGVlXXHNmUogEIBOp4NYLD7wNefn56O+vh719fXsAD6j0Yj5+XnW8YgYCKRS2AQCAej1egCIe0M0VwkGg9Dr9WAYJqnXnJ2djerqalRXV4fNLhkfH2dnlxBxE+81kZIjiqI4GdQnAiLeSFDPxWsWi8WQSqWQSqVob2+/4vkRq+0zybwR8RZJyDzyyCP4zW9+k1QhA7w3t4qiKFRtmxRcVVWF9fX1HX9ndnYWFy5cwCc/+UmcO3cOU1NTeOCBBxAMBvGNb3wjGcsW2CeCmBHYN2TWTDRsdyyLJGQcDgd0Oh1kMhk6OjrS1rEsFoj1cnl5Obq6uva85r0sn6uqqiCTyThdruXxeKDValFSUoKenh5evM9erxdarRaFhYXo7e2N62lfTk4OampqUFNTwzoeGY1GGAwGAGCFTbJ7r/x+f9gAPT6ccBLBmpWVFbEhOtHsNLvEaDRicXERo6OjKCsrY/fFQQ9BQsVbpAA3kwgts1IqlZwUMtsRiUQoLi5mrcD9fn+Y7XNubi4rbMrLy6+4L5Oyyb2c2miaxj/90z/hF7/4BS5evIi2trZkXN4VbI8zIs3Go2kacrkcP/7xj5GVlQW1Wo3V1VU8/vjjgpjhOJl/txFIGFlZWVFlZmJxLDOZTBgaGsLhw4fR2NjIqTKZRHFQ6+Xtp/NE2MzOzrIzKlJVO78bRLBWV1ejvb2dM+tKJG63G1qtFhUVFQkX6VlZWWxAQqbNG41GTExMwOfzhfVeJTIA29raYgVrd3c3LwSr3++HRqNBQUFB3AXrQdg+0De0WXxqaupAzeJkUKJYLE6peEsm0faLcJ3c3FzU1dWhrq4uzPZ5eHgYNE2HlaNlZWVheHgYHo8nopBhGAbf/e538dOf/hQXLlxAR0dHkq8K7Hq3Z2GMRuMV2RpCTU0NcnJywvZvZ2cn1tfX4ff7eVEam66k56dPgBNEI2aidSwD3puzMT09je7u7l1vNpnG2toaRkdH0dHRgbq6ugP/vZycHNTW1qK2tjbM8pkMMot1bkkiMJvNGBwcxOHDh5PWCJpq7HY7dDodDh06lPQBoCKRCOXl5SgvL0d7ezt7Or+wsICRkRHWylUul8e1X8ntdkOj0bAZVj4IVpJ5Ky4u5ny2saCgAA0NDWhoaGBLFE0mE7RabZgYlkqlEa8jEAhAq9UiJycH/f39gpBJY7YfghDb5/n5eYyMjLDiRaFQ7BrYMwyDxx9/HE899RQuXLiA7u7uZF4CS25uLtRqNc6fPx/WM3P+/HmcPn16x985ceIEfv7zn7Nl8AAwOTmJmpoaQchwHMEAIEOgaRqBQCCpr6nRaFBZWYnGxsYdvx+tYxnDMJiYmMD6+jqvLHnJbJHe3l5UJngIyE5zS1JRdrS6uoqxsTF0dXWhpqYmKa+Zaoh4a21t3dEONJWQ03mj0QibzQaJRMLui2hq53fD4XBAq9WmRLyliq2tLWg0GrZUNF2vObTPxmg0IhgMskMZt2fyQksI+/v7OS3e4gURMhRFQalUZoyQiQTDMDAYDLDb7SgqKoLNZkNhYSEqKyuxtLSEa6+9FtnZ2WAYBk888QS+973v4fz581Cr1SldN7FmfvLJJ3HVVVfhxz/+MZ5++mmMjIygsbERn/70p1FXV8c6my0tLaGrqwuf+cxn8Ld/+7eYmprC/fffjy9+8Yt45JFHUnotPEcwABBIHJF6ZmJxLBsaGsLW1haOHTuWVs3r+yXUbnpgYGDH2SLxhkwOr6ysDCs7Ik3BibZ8DhVvCoUCFRUVcX8NLkIyb1wVb6Gn836/n83kzc3NIS8vD3K5HHK5HKWlpVEH55ubm9Dr9WhubuZN5o1koeRyOY4cOZK2Qga4ss/G6XSGnc6TTF5ZWRlGRkbY/i++CBkyU4VPQmZ0dBRutxvHjx9HXl4egsEgLBYLBgcHcc8990AsFuOaa65BdXU1XnzxRbz++uspFzIAcNddd8FiseDb3/421tbW0NPTg3PnzrEHsIuLi2H7tr6+Hq+//jq+/OUvo6+vD3V1dfjSl76Ehx9+OFWXIBAlQmYmQ0hFZmZoaAgFBQVobW29Yi3ROpbp9Xrk5OSgr68vLZonD0qoeOOC3XQyLJ9J5m1jY2PXwZCZCCmb7OvrS3jmLd5QFAWLxQKj0Qiz2QyRSBSVvS/peTty5EhcyibTAafTCY1Gw4ssFMnkbWxswGazITs7G/X19ZDL5ZBIJBl97XwVMmT+18DAwI5lqH6/H2+88QaeffZZ/OEPf4Df78cNN9yA2267DadOnUJtbW0KVi6QYQhzZvhCKsTM6OgosrKycOTIEQBXOpZFavR3Op3Q6XSoqKhAZ2cnL071iPVydnY2+vv7OSneiGWn0WiEw+E4sOUzRVEYHh6Gy+XizZBEhmEwMzOD5eVlKJXKtB/0GjqjInR46/ayI5KF6unp4U3Pm91uh1arRVNTE5qbm1O9nKTg9Xqh0WggkUhQWVkJs9kMs9mMnJyciC5Y6Qxfhcz4+DgsFsuuQob83H/8x3/gkUcewauvvgq5XI6zZ8/i7Nmz+OMf/wilUolTp07hk5/8ZFKtmQUyCkHM8AWGYeD3+5P6muPj46BpGl1dXftyLCNlKJl8mkcgTlbRWi9zgZ0GMsZi+UxmizAME7FhNJMgJ5kWiwVKpZLT1tj7gWEYtuzIaDTC7XZDKpUiOzsbJpOJVyWEVqsVer2ek71QiYL0BUmlUnR2drL3btKTR9zRKIpiM7wVFRWcPLiJFr4KmYmJCZhMJgwMDOx6CMUwDP7rv/4LDz30EF5++WVcd911Yd83m804d+4czp49i7vvvhsf+9jHkrB6gQxEEDN8IRViZmpqCj6fD93d3VE7li0tLWFychLd3d2orq5O1lJTCukhqK+vT9sylNB+CovFsqflM3F1Kigo4M1sEZKFcrvdUKlUcXUG4yputxsTExOwWCwAgNLS0jADgUyFmDrwqZzO4/Gw7nSR+oJCXbBI6Wp5eTmb4U2nzwVFUdDpdADAG8tphmEwOTnJ9nRGEjI///nP8eUvfxm/+c1vcP311yd5pQI8QhAzfCEVYmZ2dhYOhwO9vb1ROZZNTk5ibW2NN45lALC+vo6RkREcOXIEhw4dSvVy4kKo5bPZbL7C8pkMw6ysrOTN0NNAIACDwQCapnmVhZqamsLa2hpUKhXy8vLYjI3VakV+fj5rIMClGUcHZWNjA8PDw7w6kCEGB1VVVTHPhfJ4PKywsdlsKC4uZu8XxcXFnN0XfBUyU1NTWF9fx8DAAAoLC3f9uRdffBFf+MIX8Mtf/hI33XRTklcqwDMEMcMnfD5fUl9vfn4e6+vrbP/Hbg8liqIwNDQEt9sNpVK56w0yk2AYBgsLC5idnUVvby9kMlmql5QQtls+EytuuVyOrq4uXpRkkF6o3Nxc3szZIA5HVqsVarX6is80cTsiQaxYLGZP5veaW8JliLV4X19fxn6mt+NyuaDRaFBbW4vW1tYDiQ+S4TWZTLBYLGyfTapnX22Hr0JmZmYGKysrGBgYiJhZ/fWvf43Pfe5zeOGFF3DrrbcmcZUCPEUQM3wimWKGpmnY7XYMDg6GTRSXyWRhASwJ9LKysqBQKNK6djpaQt27lEolSkpKUr2kpLC+vo7h4WGUl5fD4/EkxfI51ZAsVGlpKW8m3NM0zR5ORFNOt31uCUVRYQYC6bIvlpeXMTk5if7+ft70BRGntvr6ehw+fDiuWZTQafPkIITcLyoqKlK2L4LBIHQ6HcRiMRQKBS+EDADWtGQvIfPyyy/j/vvvx3PPPRc2jFJAIIEIYoZP+P1+xPB+7ovtjmXAewHdxsYG2xBMGj8LCgrYuQTp0vR+UEgWyuPxcMJ6OVkQG2KShUqG5XOqcTqd0Gq1qK6ujrn0Jl0hzdDBYBBKpTLm9zG0n8JoNMLj8UAqlbL7Ii8vL0ErPxjz8/OYm5uDUqnkTYksGXza2NiYcKc2hmFgt9tZYUP2BXFHS1afDV+FzOzsLBYXFzEwMBDRtOTcuXO499578Z//+Z+48847k7hCAZ4jiBk+kWgxE41jmdvthtFoxOrqKjweDwoKCtDY2Ai5XM7ZQCVe+Hw+6PV6ZGVlcdZ6Od4wDIPp6WmsrKxE7IWKt+VzqrFarTAYDGhqauKNI18gEAgL9OJxcr59X5SUlLD7ggsGAgzDYHZ2FktLS1CpVLzJshLL6cOHD7MDBpMJ2Rcmkwl2ux0SiSTMWCIRnze+Cpm5uTksLCxArVZHnAF2/vx5fPKTn8TTTz+Nu+++O4krFBAQxAyvSKSYIdmYaBzLlpeXMTExwQ7TNBqNsNvtKC0tZRuC0zGAjYTb7YZOp+NdudHo6Cg2NzehUqmiDj4PavmcaoxGI4aHh3nlZOXz+Vh3ut7e3oQEej6fL8xAoLCwkBU2qTAQCDU4UKvVabE34wFxX2xtbUV9fX2qlwO/388KG4vFgry8PDZjE68+G74KGZJxHBgYiChkLl68iLvuugtnzpzBPffcw4vDGwFOIYgZPpEoMUMyMtE4lk1NTWF1dRX9/f0oLy9nv+fz+WA0GtkAViKRsMKGCyewB8Fms0Gv16Ouru7ADbLpQjAYZPuliJPVfojV8jnVkL6Jnp4eyOXyVC8nKZDZImVlZUkrFw0Gg2yjuNlsRlZWFitskjGQkQwMNJvNOxocZCpkdk57ezsn3RdJnw1xUmQYhu2/2m+fDREyJKPOFyGzuLiImZkZqNXqiBnH3//+97jzzjvxxBNP4P777+fcPVmAFwhihk8EAgG2BCxekIwMTdMRhQyZseF0OqFUKiMKFHLSRgLYoqIiVthw2apzJzY2NjAyMoK2tjZOnGImA2LqkJOTg/7+/rg16u5l+ZzKbBfDMJifn8f8/DwUCkWYUM9kiJNVVVVVxNkiiSR0IKPRaARN0+zJfCIaxUnG0W63Q6VSZVwWeTcsFgsMBgM6OjpQW1ub6uXsSWifjdFohNfrDeuzieaAJRgMQqvVIjs7m1dCZmlpCdPT01CpVCgtLd3159555x3ccccdeOyxx/D5z38+rZ7NAhmFIGb4RLzFDOmP2UvIkF4RsViM/v7+mJqCg8Eg+zAym83Iy8tDVVUVmzST1QAAIABJREFUZ0/mCQzDsCdbmWy9vJ1kuXdtt3xmGIYVNlKpNKlBB5mRtL6+DpVKFbEcI5Ow2+3Q6XQJcbLaL8RAgGR5SQAbL2MJ4tTm8XgOlHFMN0wmE4aGhtDZ2YmamppUL2df7NR/RYTNTn02fBUyy8vLmJqa2tPM4k9/+hNOnz6NRx99FA888AAnPv8CvEUQM3wiXmJmu2PZTo3+BJfLBZ1Ox5agHOSBQFEULBYLNjY22JN5krEpKyvjzM001HpZoVBEPNnKJEhwW1tbi7a2tqS9HwzDwGazsQFsMi2faZrGyMgIe0rPt3Kj1tZWNDQ0pHo5u0IMR0wmExwOB9uXJ5PJYn6vKIqCwWBAIBDYl1NbumI0GjE0NISenh5UVVWlejlxwefzsVleq9WKvLw8dl+UlZWxpWV8EzIrKyuYmJiAUqmMmF3WaDS47bbb8I1vfAMPPvggZ569ArxFEDN8IhgMhlkm74doHMsIFosFg4ODqK+vR0tLS1xveORknlj7ikQiVtgko2Z+N0g5ncvl4lUJitlsxuDgIFpaWlLibkRIpuUzCW79fj+USiVvTulJcNvZ2ZkW5UYEYixhMplgtVrZ8lWZTAaJRBLx/hQMBqHX68EwDJRKZdrMvjko6+vrGB0dzegeMHJIRvYGIT8/HyqVijeidXV1FePj41AoFJBKpbv+nMFgwC233IKvfe1reOihhwQhI8AFBDHDJw4qZmJxLFtZWcH4+HhSAh6aptmT+Y2NjbCSo4qKiqQJG7/fD71eD5FIxJsBoMD7U8+7u7tRXV2d6uWEkSjLZ/Jex9OGOB0gAU+6B7eBQCDMQCDSpPlAIMCWG/HJyWptbQ1jY2Po6+tDZWVlqpeTFPx+P/785z+zzzifzxfXMkWuQt7rvYTM8PAwTp48iQcffBCPPPKIIGQEuIIgZvjEQcRMLI5l09PTWF5eRn9/f8QbYyIgTZ9E2JCSo6qqKlRWViYsECHWyyUlJeju7uZFwBPa9J6K9zpW4mX57PV6odVqUVRUhJ6eHl6818D7g0/3CnjSje2T5okDllwuh0QigV6vR0FBAfr6+nhhqQ68X27U39+PioqKVC8nKRDRmpubi/7+fohEorB5NlyccxQPSPZtr/d6dHQUJ0+exF//9V/jW9/6liBkBLiEIGb4xH7FTCyOZSMjI3A4HHs6liUDhmHgdDpZYeP1esN6KeKVOSHWy8nuFUklxJrWaDSmZdP7fi2fXS4XtFotKisr0dnZyZv3mgyGVCqVGd0Dtv0wxOv1Ii8vDy0tLRl9Mh/K0tISpqamMk60RmK7kNlJtJI5R6RMMT8/nxU2paWlaXkv2NjYwPDwMPr7+yNm3yYmJnDzzTfjvvvuw7/8y7+k5bUKZDSCmOETFEUhGAzG9DvROpaRshsAUCgUnHvoMwzDNgNvbGzA7XZDKpWyJ/P7XS8ZkMgn6+VM6wsKBoOwWCx7Wj4T0Xro0KG494BxFWJmQUQrXwZDejweXL58GaWlpZBIJDCZTHA6nXErU+QqxIFxLyerTIIImby8vKizb+SeQcoURSIRe1CWbDfF/UJ63/r6+iK6bU5PT+Pmm2/G3Xffjccee4w32UmBtEIQM3wiFjETi2NZOpZYeTwe1v2K9FIQYZOfnx/V3yBlN+nePxALgUCAbYTmomg9KLtZPufn52N+fh5tbW2cdu+KJ2Seis1mg1qtzsjgfSdI9q2qqgrt7e3sfc/r9bL7gpQpEtGbbvOvdoJMe99rtkgmEQgEoNFokJ+fv+8yQtKzSbI2Pp+PNR2prKzk5D3SZDJhcHAQvb29EZ9dc3NzuPnmm3H77bfjiSeeEISMAFcRxAyfiFbMxOJYZrVaYTAYcOjQobSdbk+ClI2NDdjtdrYuuqqqascAjswVWVtby/iym1C2trag0+lQWFiI3t7etBCtB4FYPs/NzcFisUAsFrPBa6Itn1MNRVEYGhrC1tYWr+apOJ1OaDSaPbNvxEAgdP5VaDYv3e6Ds7OzWFxchFqtTruS0f0SDyGzHeKmSISN0+lEaWkpuze4YN1uNpthMBj2tNpeXFzEjTfeiFtuuQU//OEPBSEjwGUEMcMnohEzsTiWERerjo4O1NXVxXWtqYLURZP5A6RJXC6Xo6ioKKzESqlUcuLhlAycTid0Oh0qKyvR0dHBmwcbyb719fUhLy8vKZbPqYbYENM0DaVSyRtXPpvNBp1Oh6amJjQ3N0f9e8RAgGRtAKRsgGusMAyDmZkZrKysQK1W86aMkAiZgoIC9Pb2Jux+tt0OvLCwMKrevERhsVhgMBjQ1dUV0XlyZWUFN954I2644QY8+eSTSbnfnzlzBo8//jjW1tbQ3d2NJ554Atdcc82ev/f888/j7rvvxunTp/HSSy8lfJ0CnEQQM3yCpmkEAoFdvx9toz9pCF5cXERfX1/Gut0EAgFW2FgsFuTn54OiKOTk5PDqtJpk3xobG9Hc3Jx2p877gbjyrays7Jh9S5Tlc6rx+/3ssEA+2RCTIaAH7X0LHeBqMpng9/vDSo64JAwZhsHU1BTW1tYwMDCQcsOWZOH3+6HVahMuZLazvTePZHplMllSRC/Z452dnaipqdn159bX13HjjTfi6quvxjPPPJOUe8ALL7yAe+65B2fOnMGJEyfw1FNP4ZlnnsHo6GjEst6FhQWcOHEChw8fhlQqFcQMfxHEDJ+IJGaiFTJk4rnNZoNSqeTNSZ7D4YBOp4NIJEIwGERubi5bipaKE7ZkQdxuMin7thc0TWNsbAxWqxUqlWrPIG+75bNEImGFTTp9PkItp5MZ5KUak8mEoaEhdHR0xHUmFik5IsLG5XKhvLyc3RvR9uYlAlIqu7GxAbVaLQiZJBM6G81kMiEQCKCiogIymSwhfTZEyOy1xzc2NnDzzTdjYGAAP/nJT5J2mHHs2DGoVCr86Ec/Yr/W2dmJ22+/Hd/97nd3/B2KonDttdfivvvuw1tvvQWbzSaIGf4iiBk+sZuYicWxzGAwgKZpKBQK3mQm7HY7dDodampq0N7eDpqm2RM2k8mErKwsyOVyyOVylJeXZ4ywISVWvb29Ed1uMgnSK+LxeKBSqWIOOPdr+ZxqPB4PNBoNpFIpOjs7eSNkiFjfq38gHmxtbbGi12azQSKRsHujqKgoaXuD2KqbzWYMDAykdSYxFvx+PzQaDdvzx5U9vpPoLSsrY7M2By1l3tzchE6nw5EjRyIeSJlMJtxyyy3o7u7Gz372s6T1BPr9fhQWFuLFF1/ERz/6UfbrX/rSl6DX6/G73/1ux9/75je/icHBQfz617/GZz7zGUHM8Js9b56Z2+HKQ7Y/LLc7lkUSMsSxTCKR8GpQILFebm1tZdPdoeIl1P1qcHAQIpEIMpkMVVVVKC8v58wDMxZCS6zUajVvDA5CndqOHj26r5Kg3Nxc1NbWora2NqyshEyQ323KfCpxOp3QarWoqanhzZwk4L2ev/Hx8T2taeNFQUEBGhoa0NDQECZ65+bmkJeXx95TEjmzhGEYjI6OYnNzk5dChgy65cpnD3jvuSyRSCCRSNDS0hKW6Z2amkJRURErbGI9ECF9YO3t7RGFjMViwalTp9De3o7nnnsuqeYmZrMZFEVdcZhQVVWF9fX1HX/n7bffxrPPPsuOgxAQ2AtBzGQosTiWbW5uwmAw8GooJBCd9bJYLEZlZSU7RHFzcxNGoxEjIyOgKIoNXisqKtJCAIba8R49epQ35Sc+nw9arZZ1NorHe5WdnY2qqipUVVWFid6hoSHW8jnVTeKhTe9NTU28+WynejBkqOilKIoVvXq9nj0QkclkqKioiFvgTT7bdrsdAwMDKS1zSyZcFjI7kZ+fj/r6etTX1yMQCIQdiGRlZYX12US6FlJR0NbWhkOHDu36c5ubmzh9+jSamprw/PPPp6yva6fD1p3uR06nE5/61Kfw9NNPRxz0KSAQilBmlkEwDAO/3x+TY9na2hpGR0fR3t7Om6GQpDF2dXUVCoViX8PjQieJG41G+P1+dqgaV219g8EgDAYDAoEAlEolb8oIPR4PtFotysrK0NXVlfBgJ7RJ3Gg0IhAIpGRvEGcjPg18Bd6fp8LFwZA79VJUVlayvRT7DTRpmmZdGNVqNW8+2+kmZCJB0zQ2NzfZrE0wGNx1bzgcDmg0GrS0tERsoLfb7bjttttQWVmJl156KSX7ItYyM71eD6VSGXYARA5lxWIxJiYm0NLSkpzFC3AFoWeGTzAMA5/PF7NjWW9vL29OQCiKwsjICBwOB1QqVVysl0lN9MbGBoxGI7a2tsJsfbngcOTz+aDT6ZCTk4P+/n5Oiq1EQIwdUlVixTAMnE4nK2w8Hk9SLJ9Jr0hXV1dEZ6NMgtzTlpaWoFKpUFJSkuolRYTsDRK8ut1uSKVS9mQ+2swKTdNsH5harc4oG/FIZJKQ2c5Oe6O8vJztsRkaGkJzczOampp2/RtOpxO33347iouLcfbs2ZSWHB47dgxqtRpnzpxhv9bV1YXTp09fYQDg9XoxPT0d9rV/+Id/gNPpxA9+8AO0t7fzZo8LsAhihk8MDQ3BbDZDpVIhOzs7omMZqatWKBS8GqKWjOn2pNnTaDTC5XJBKpWy9fKpuAmTfqjS0lJ0d3dn1EM/EsRyeq+HfjJxu93sqXyiLJ9XVlYwMTHBK2MH4t61vr6etvNUPB4PG7yS4b6hBgI7QVEUBgcH4ff7oVKpOHFwkgz8fj8uX74MiUTCi3saMZdYW1uDw+FAbm4uDh06BJlMBolEcsWz3uVy4Y477kBOTg5eeeWVlJcTE2vmJ598EldddRV+/OMf4+mnn8bIyAgaGxvx6U9/GnV1dbs6mwkGALxHMADgE++88w4efvhhlJSU4LbbbsPp06dx/PjxsHSt0WjEV7/6Vdx33304fvw4b8oRtra2oNVqUVxcnHCDg+LiYhQXF+Pw4cPweDwwGo1sMzIJXuVyeVJq2klddV1dHVpbW3nTM7GxsYGRkZE9HX6STVFREZqbm9Hc3BzWCDw5ORkXy2dSYpWqXpFUwDAMxsbGYLFYcPTo0bQddFtYWIjGxkY0NjbC7/eze2N2dhb5+fnsfYM0iVMUBb1eD4qieCVkfD4fNBoNb4QM8J65hFQqxezsLJqamlBcXAyTyYSFhQUEAgG88MILOHXqFG6++WbQNI0777wTYrEYL7/8csqFDADcddddsFgs+Pa3v421tTX09PTg3LlzaGxsBPBe/yof3keBxCFkZjIMr9eL8+fP47//+79x9uxZ5Ofn49SpU/joRz+K8vJyfPzjH0dTUxNefPFFzpdhxAu73Q69Xo+qqiocOXIkZQG91+tlMzY2mw0lJSVsgJKIAIzM1wh1auMDy8vLmJycjGjswDUOavlMJr0vLy+nRYlVvCBzsRwOB9RqdUY2vRPXPDJpnpiSOBwOZGVl/f/snXlgU2Xa9q+WpdCWtmmaBkqFlEKhC12SKtuAVBFoaZt0dBx1BpyRcdRZ3N5RxwUFN1ScAUdlBvUddRgdHZK0hcoyRQoIWqVJd7pIV7uQpUuatGnW8/0x3zkvLTSl0Kzn+f1HOEnuk5P0PNdz3/d1M5l4NnCpkElKSmLN5szg4CDKysoQHR09ol/EbrejoaEBr732GkpKSmA0GjFv3jzY7XYcP36cVb1yBJ+GlJmxGbPZjJKSEkilUhw4cAAmkwk33XQTHn30Udxyyy2s2MmjF/SxsbHMLpAnYDabGWHT29uL4OBgRthMRolMZ2cn6uvrkZiYiNmzZ09CxJ4PRVFoaWlBW1sbUlNTweFw3B3SNTF6kvh4ls+XzhW5miGgvoLdbkdVVRWMRiOEQiErssx2ux1arRZ1dXWwWCwjpsx7qvHIZEELmZCQECQmJrJOyMydOxexsbFjnvfQ0BC2bNmCpqYmTJ06Fd9//z3Wrl0LsViM3NxcImwI3gwRM4T/1qved9992Lp1KywWCwoKCmA2m5GdnQ2xWIyMjAyfXAjQ9qyJiYlOH5h3PVgsFmi1WqhUKmZXnhY2V6qHdsSlC/qUlBRWlRo1NDRApVJBKBT6TB/YpZbPGo3mMstnPz+/EYYWbJkrYrPZGGc+NpVYWSwWlJeXY+rUqUhOTsbg4CBTjkabS9Dixpf+prNVyAwNDaGsrAxz5sxxWCZsNpvx85//HN3d3Th+/Dg4HA6am5tRWFiIwsJCnDlzBikpKXj++echFotdfBYEwnVDxAyboSgKO3fuxGuvvYbPPvsMWVlZAP67EDhz5gykUikKCgqg1+uRlZUFiUSCW2+91esXRJcOhbxW62V3Qe/Kq1QqaLVaTJ8+/aqH7dE79BqNBmlpaT6zoB8P2paWLjXy9u/vWFzJ8nnKlCnw9/eHSCTy2l6RiWK1WlFeXg4ASEtL8+lsxKWYzWYolUoEBAQgJSXlsgzdpcJmYGCAKWPl8Xhena0zmUwoKytjDEzYImSMRiPKysoQGRmJuLi4Mc/bYrHg3nvvRUtLC06cOAEul3vZMT09PTh8+DAWLlyIFStWODt0AmGyIWKGrVgsFjz44IM4duwYvvjiC6SkpFzxOLvdjtLSUkilUuTn56OnpwcbNmyARCLB+vXrve4meOnCNi0tzevivxSbzYbe3l6oVCpoNBpMmTKFETajy41sNhtjz5qWluazC/rRWK3WEW5ObLHspG1paUEz2g7cVz8Hi8UCpVLJWIx7w6DayYC+3oGBgVi6dOm4zdImk4kRNr29vQgMDGS+GxOdMu9OhoeHoVAomBlR3hL39UILGR6P57DP02q14r777kN9fT1KSkpY415IYB1EzLAVk8mERx99FM8999xVuznZ7XYoFApIpVLI5XJ0dXVh/fr1EIvFyMzM9Pidftp62W63Iy0tzacWdPRANVrYUBQ1ohStsrISfn5+SE1NZU3JjdlsZkpu2DQ7h96hnz59OrOgd4Xls7sxmUxQKpVXvaD3FegSK9qJcaLnbbVaGXMJugeL/m5wOByP/RzZKmSGh4dRVlYGLpeLJUuWOBQyDzzwACorK3HixAnW9EYSWAkRM4Rrw263o7KyksnYtLS0YN26dRCLxcjKyhq35MnVGI1GlJeXMwsdX96xvbTcSKVSwWQyISAgAHFxceDxeD597jSXWm2zaWFLnzft5nSl877U8rmvr4+xfHY0r8TToRe2dM8EW643fd6TVWJF92DR3w+73T7CQMBT/nawXciEh4cjPj5+zPO22Wz4zW9+g2+//RYnT55EVFSUiyMlEFwKETOE64eiKNTW1jIZm4aGBmRkZEAikWDTpk1MI7K7oKe8u9t62dXo9XooFApwOBzMnDkTarUaJpMJERER4PP5PutuZDAYoFQqwePxHO5c+hqDg4NQKpWIiIi46vO+kuWzt5UbDQ0NQaFQgMvlOlzg+RpGoxEKhWLche21QlEUdDodI2yGh4eZAb/uLFWkhQyHw2HV9aZ7g8YTcHa7Hb///e/x1VdfoaSkhLiUEdgAETOEyYWetC2TySCTyVBdXY01a9ZALBYjJycHPB7PpTcf2np5wYIFmD9/PmtufPR0+/nz5yMmJgZ+fn6gKAoGg4HJ2BiNRoSHh4PP54PH4/lE+Vl/fz/Ky8sxb948LFiwgDXXe2BgAEql8rqGnzqyfOZwOB75WRoMBigUCsyePdthE7SvQQu4iQjX62V0qWJoaCgjbFxlLnG1mQlf42rd2ux2Ox5//HEUFxejpKQEAoHAtYESCO6BiBmC86AoCs3NzUwpmkKhwMqVKyGRSJCbm4vZs2c79WbU0dGBhoYGVs1SAYCLFy+itrYWS5YscdgPRS9OVCoVDAYDOBwOI2y80bZVq9WiqqoKixYtYtVuZF9fHyoqKhATEzNpi5fxLJ89odyIFnA33HADq4Tr4OAgFAoF+Hy+2wQcXaqo0WjQ29uLoKAgRthM1C5+Iu/JRiFDmzvQPVGOhMxTTz2FQ4cOoaSkZMTwTALBxyFihuAaKIpCe3s7ZDIZ5HI5SktLsWzZMojFYojFYkRHR0/azYmedv7DDz949XDEa6GtrQ1NTU1ITk5GRETEVT/PaDQylr46nQ6hoaHg8/mIjIz0iqnp3d3dOH/+POuEK515jIuLQ3R0tFPe40qWzxEREYiMjHRbqSKdgZtMAecN0JmoqKioa87ATTb0HCyNRgOtVotp06YxwuZKQ1yvBbYLmaCgIIfmDna7Hc899xwOHDiAkpISxMXFuThSAsGtEDFDcD0URaGrqwtyuRwymQxnz56FUChkhI1AILjmm5XdbkdtbS36+/tZNe2coih8//336OrqQlpaGkJDQ6/5tUwmE7NwvbRBnM/ne+SsElrApaSkXHGGgq9CC7ikpCSXDX2lKAp6vZ75ftCliq7so+jt7UVFRQXrMnB0D5wnZ6Jou3g6a0NRFCN8uVzuNWX06N6g8dy7fA2LxQKFQoGZM2c6NDGhKAo7duzA/v37UVJSgiVLlrg4UgLB7RAxQ3AvFEVBpVIhPz8fMpkMp06dwtKlSyGRSCAWiye0+2ixWFBZWQmbzYbU1FSvLJW6FmgBp9PpIBQKJ1VwmM1mpgG4p6eHKSfh8/kICgpy68Li0uGn1yvgvI0ffvgB33///YQzcJPNWJbPzsro0ZmoJUuWsMqhiS6po3vgvAHaQIAWviaTiZl1FBERcVXCl81Chh6Ampyc7FDIvPrqq3j//fdRUlKCxMREF0dKIHgERMwQPAeKotDT04PCwkJIpVKcOHECixcvhlgshkQicXgzGxwcRGVlJWbOnInk5GSPqOl3BVarFZWVlbBYLEhLS3OqgKPLSegG8RkzZjDCxll18mNht9tRV1eH3t5e1mXgWltb0drairS0NISFhbk7JAZnWz6rVCrU1NS4NBPlCeh0OiiVSsbExBuhKIoRvmq1GgaDYdxZR/RgSFeaHHgCVqt1xOBXR0Jm165deOedd3DixAkkJye7OFICwWMgYobgmdB1+gcPHoRMJkNxcTFiYmKQm5uLvLy8EbMkvvnmG2zduhX79u3DqlWrWDNjwmQyoby8HNOnT0dycrJLexdsNhsjbDQaDVMnz+fznT5jyGazobq6GkajEWlpaV7R0zMZ0KWE3d3dEAqFHj2kdrItn7u6ulBfX4+lS5eyaoo5be4QGxuLefPmuTucSWN4eJj529HX14fg4GDGYCI4OJjpkRlvwr2vQQsZetDvWJtyFEXhrbfewptvvoni4mKIRCIXR0ogeBREzBC8A51Oh6KiIsjlchw9ehRRUVEQi8Xg8XjYsWMHHnzwQbz44ousETL0TBEOh4OEhAS3nrfdbmcsfTUaDfz8/Jgd+cmeIG6xWFBRUQEASE1N9Qk76auBoijU1dWhp6fH6zJR12v5TJfUpaamIjw83EVRux+6N8iZ5g6egMViYXpstFotpk+fDovFAi6Xy6qBtzabDUqlEv7+/khNTXUoZN59913s3LkTx44dw0033eTiSAkEj4OIGYL3YTAYcPjwYezatQvl5eUQCoVYsWIF8vLykJ6e7vM3v/7+flRUVFzXTBFnYbfb0dfXx5STXGrpy+Vyr+vamEwmKJVKzJgxg1WlhHa7HTU1NTAYDBAKhV6diXJk+Xyl70dLS4tHltQ5m56eHlRWVrKuN8hgMKCsrAzTp0+H2WwGAI+zBHcGNpsN5eXlAIC0tDSHQua9997Djh07cOTIEaxYscKVYRIIngoRMwTvg6IovPDCC3j77bfx2WefYWhoCDKZDEVFRQgJCUFOTg4kEgmWL1/uczc/ugF64cKFHl92QjcAq1QqqNVqWK3WEZa+E7k2npSJciU2m21ET5S7pq47A0eWz1wuF21tbejo6IBIJPLokrrJhv6Nx8fHY86cOe4Ox2XQg0AjIyMRFxd3mYEAna2h/374SlbWZrOhoqICdrsdQqHQoZD58MMP8cwzz+CLL77A6tWrXRwpgeCxEDFD8C7MZjN+9atf4fTp0zhy5Aji4+OZ/xseHkZxcTHkcjkKCwsREBDA9NisXLnSLfMwJhN6CKg3NkBTFIWBgQFmYTI8PMwsXHk8nsNrQzs5RUVFYdGiRR6ViXImFosF5eXlTNmJt39/HTHa8nlwcBD+/v6IiYlBdHS0T4k4R6jValRXV3vlb/x6GC1kRv/GKYqCwWBgMnr0kF/674e3ZivpzQqr1QqhUDjmb5yiKOzfvx9PPPEEDh06hLVr17o2UALBsyFihuA9WK1WbNy4EX19fSgqKnK4a2k2m1FSUgKpVIqCggL4+fkhOzsbeXl5WLNmjVft6lEUhebmZrS3t/vEEFDa2YjO2AwODjI7rqNnlfT29qKyspJ1wxHZWlJH9wZpNBrMmTMH/f39LrF89gRUKhVqa2uRlJSEyMhId4fjMoaGhlBWVgY+n39FIXMljEYj45zX39+PWbNmMeVo7raMv1rsdjuTdR1PyPzrX//Co48+ioKCAqxbt87FkRIIHg8RMwTv4pNPPoFYLEZwcPBVP8dqteL06dM4cOAACgoKYDabkZ2dDbFYjIyMDI+eR2O321FfXw+tVguhUDih8/YWLrVs1ev1zI6rn58fGhoaEB8fz6q+AXq2RlhYGKtK6uh5SQMDAxCJRIxocbblsyfQ3d2Nuro6t88NcjW0kJk9e/Y1Z11HO+fNmDGDETbOdla8Vux2O6qqqmAymSAUCsfcXKMoClKpFL/97W9x4MABZGZmujhSAsErIGKGwC5sNhvOnDnDZGz0ej2ysrIgkUhw6623XnHegbuw2WyoqqqC0Wj0+sbvq4XecW1vb4fRaERQUBDmzp2LyMhIj7o2zsJgMECpVCIyMpJVlrT04s5oNEIkEo1ZVjbZls+eQGdnJxoaGpCSkgIul+vucFzGZAiZ0dhsthHOiv7+/iMMBDxhY8ButzPW8iKRyGGVQH5+Pn7961/js88+Q05OjgujJBC8CiJmCOzFbrejtLQUUqkU+fn50GqJpx30AAAgAElEQVS12LhxIyQSCdavX+/WXV+z2YyKigr4+fmxzoKYLqlLSkpi5lHQsyj4fL5P7chfik6nQ3l5OW644QYsWLDAKxfm18KlJgeOdqlHc72Wz54AW22nBwcHoVAoMGfOHKc5MtrtdsZgQqPRMAYTPB7PbQYCtDPh4OCgQ9EOAEVFRfjlL3+Jf/7zn8jLy3NJfHv37sWuXbvQ3d2NxMRE7NmzZ0yjgffffx//+Mc/UFNTAwAQiUR49dVXiVU0wR0QMUMgAP+9ySgUCkilUsjlcnR1dWH9+vUQi8XIzMx0qZuS0WiEUqlEcHAwkpKSWNUv0dDQALVafVlJHT2LQqVSoaenB0FBQUypUXBwsFcsXB1BzxSJjY312inv14LVakV5eTkj2q/V5GCils+eQHt7O5qamlhnO+0KITOaSw0mNBoNBgcHER4eDh6P5zIDAYqiUFNTA71ej/T0dIdC5siRI9iyZQs+/PBD3HnnnU6PDQA+//xzbN68GXv37sWqVauwb98+fPDBBzh//vwVnTN/9rOfYdWqVVi5ciVmzJiBN954A3K5HLW1tZg7d65LYiYQ/j9EzBAIo6EbM+mMTUtLC9atWwexWIysrCyn1mHr9XoolUrw+XzWlRnRN3qhUOiwpMxqtUKr1UKlUkGr1SIgIIDJ2HhjqZFarUZNTQ3rZoqYzWaUl5dj2rRpDqedTxRHls8REREe4QrX2tqKlpYWCIVChIaGujsclzE4OIiysjJERUW5dUbW0NAQI2x0Oh1CQkJGGAhMNhRFjegHc9Snefz4cdxzzz147733cPfdd7vsM1q2bBmEQiH++te/Mo/Fx8dDIpFg586d4z7fZrOBw+HgnXfewZYtW5wZKoEwGiJmCARH0DchOmPT0NCAjIwMSCQSbNq0CeHh4ZN2s+np6UFVVRUEAgEEAoHXLcqvFavVytiTTnSWyuga+alTpzIZm7CwMI//DLu6ulBXV4elS5eyysGKdmsLDAx06pT30ZbPRqMR4eHhV3TOcxV0GaVQKERISIjL399d0EJm7ty5iI2N9ZjfptlsZgwment7MXPmTEbYTMbmCEVROH/+PPr7+5Genu5QyJw8eRJ33nkn3n33XWzZssVln5HZbEZgYCAOHDgwoqTtkUceQUVFBU6dOjXua+j1ekRGRuLAgQPIzs52ZrgEwmiImGEjjY2NeOKJJ3D27FmYzWYsXboUL7/8MjIyMtwdmkdDURQaGxshk8kgk8lQXV2N1atXQyKRICcnBzwe75pvPt3d3Th//jzrnLvo3fmpU6ciJSXlunbN6VIjlUoFjUYDPz8/RthwOByPKzVqb2/HhQsXWNf4TZdRhoaGutytbbRznistnymKQlNTEzo7OyEUClk1CNRThcxoRvdhTZkyZUQf1kS/q7TVeG9vL9LT0x1+x7766ivccccd2LNnD+677z6XfkZdXV2YO3cuzp49i5UrVzKPv/rqq/j444/R0NAw7mv89re/xbFjx1BTU8MKsxqCR0HEDBtZtGgR4uLisHPnTsycORN79uzBRx99hKamJsyePdvd4XkFdKM6XYqmUCiwcuVKSCQS5ObmYvbs2Vd9M2ptbUVzczPrbFnpRe2sWbOQlJQ0qYvaS5t/VSrViB6K8PBwt/YhXWpywLYyI3o4IpfLRXx8vFsXtbS5hEajcbrlM0VRuHDhArq6uiASiXzSYn0svEXIjMZut6Ovr4/J2thsthEGAuNtvFAUhfr6evT09IwrZL7++mv8+Mc/xuuvv44HH3zQ5Z8RLWa+/vprrFixgnn8lVdewf79+1FfX+/w+W+88QZee+01nDx5EsnJyc4Ol0AYDREzbEOr1YLH4+H06dOMS4ler0dISAiOHz+OW2+91c0Reh8URaG9vR0ymQxyuRylpaVYtmwZxGIxxGIxoqOjr3hzstlsqK2tRV9fH1JTU1m1qHWlBTFFUdDpdIywoXso+Hw+IiIiXCps6OzexYsXWbeoNRgMTOP3ZFnxThbOtHymr7lKpYJIJPJJJ76xoK95dHS0Vzv0URSFgYEBRtgMDQ2By+UyBgKjS8doMxONRoP09HSHPYDfffcdJBIJXnrpJfzud79zy2d0PWVmb775Jl5++WUcP34c6enprgiXQBgNETNsg6IoJCYmYtWqVdizZw8CAgKwZ88evPnmm6ivr2eVq44zoCgKXV1dkMvlkMlkOHv2LIRCISNs6F4Yo9GIu+++GwEBAfjwww8RGBjo7tBdRn9/P8rLyzFv3jyXL3Cu1EPB5XIZYeNMu1a73Y66ujr09fVBKBSy6poPDAxAqVR6he30ZFo+07vzWq123EWtr3GpkImNjXV3OJPK4OAgI2wGBgYQGhrKfEdmzpyJxsZGqNXqca+5UqlETk4Otm3bhscee8ytv4tly5ZBJBJh7969zGMJCQkQi8VjGgDs2rULL7/8Mo4dO4bly5e7KlQCYTREzLCRzs5OiMViKJVK+Pv7g8/n44svvkBqaqq7Q/MpKIqCSqVCfn4+5HI5Tp06haSkJGRlZaGoqAjDw8M4dOgQq2wsNRoNqqursWjRItxwww3uDgcGg4ERNgaDgWkOj4yMnNTmcJvNxgzKEwqFDpuAfQ1avMbExEAgELg7nAlxqeWzWq0GgKu2fKYbv/v6+iASiYiQ8VFMJtMIA4GpU6fCbrcjMTERkZGRYwqUyspKbNq0CU899RSefPJJtwt82pr5b3/7G1asWIH33nsP77//PmprazF//nxs2bIFc+fOZYTNG2+8gW3btuHTTz/FqlWrmNcJDg5mVcaZ4BEQMeMrbN++HTt27HB4zLlz5yASiSCRSGCxWPDss89i5syZ+OCDD3Dw4EGcO3cOc+bMcVHE7IKiKPT09ODjjz/Gjh07mAGQ2dnZkEgkWLJkidtvZs6Gdu5KSkoCn893dziXQdu10rutYWFh4PP51z2HgnZrs9lsSEtLY80AVOC/Dn2VlZUeI16vh4lYPtvtdpw/fx46nQ4ikYhVDdFsEjKXQlEUvv/+e3R0dIDD4aCvr49xV6SzsfQmRk1NDbKysvDoo4/i2Wef9Zi//Xv37sUbb7yB7u5uJCUlYffu3VizZg0AYO3atRAIBPjoo48AAAKBAG1tbZe9xgsvvIDt27e7MGoCgYgZn0Gr1UKr1To8RiAQ4OzZs1i/fj36+vpG2IIuWrQIW7duxR//+Ednh8pa6urqsHHjRtxyyy14/fXXceTIEchkMhQXFyMmJga5ubnIy8tDYmKixzlvXS/0XI2UlBSvmHRON4er1Wr09/cjJCQEkZGR4PP5E9phn0y3Nm+DzsL54vwcR5bPXC4XjY2NMBgM484U8TUMBgPKysqYElI20dTUhI6ODqSnpyMoKGiEu+Ltt9+Ovr4+rF69GitXrsRbb72Fhx56CDt27PAYIUMgeDFEzLCNQ4cOQSKRQKfTjUgFL168GPfeey+eeeYZN0bnu3z99dfIycnBQw89hJdeemnEDUyn06GoqAhyuRxHjx5FVFQUxGIx8vLykJKS4tXCht6t7Orq8tq5GmazmVm09vb2Ijg4mBE2jpq5h4eHoVQqERQU5NRZKp7IxYsXUVtb67FZuMnmUsvngYEBTJkyBQKBAFFRUazJyuj1eigUClYKGdqdMD09/YolVjabDSdPnsSnn36K4uJi6HQ6ZGVlQSKRIDs7Gzwezw1REwg+AxEzbEOr1WLJkiW4+eab8fzzz2PmzJl4//338dZbb+HcuXNISUlxd4g+x+nTp5GVlYVdu3bhoYcecniswWDA4cOHIZPJcPjwYURERDAZm/T0dK9aENMN7729vRAKhT7h4mSxWJj6+Etdr/h8PoKDgxmROjQ0BKVSCQ6Hg/j4eK+6btdLZ2cnGhoaWGc1brPZUFVVheHhYcyePRu9vb1Ot3z2FNgsZFpaWtDW1gaRSORwdtCFCxeQmZmJu+66C1u3bkVhYSEKCgqgUCiwatUq5OXlQSwWIyYmxoXREwg+AREzbKSsrAzPPvssysrKYLFYkJiYiOeffx6ZmZnuDs0n0el0KC0txYYNGyb0vKGhIRw7dgwymQxFRUWYNWsWcnNzIZFIsHz5crfOShmPSxd2aWlpPrk7bbVaGTtfrVaL6dOnIzIyEsHBwWhsbMScOXMQFxfHqjISehBoamqqV5QTThY2mw2VlZWwWq0j+qLGsnyOjIzErFmzfOK7QQuZ+fPns24hTpfPpqenOxQyLS0tyMzMhEQiwZ49e0ZsbnR2duLgwYMoKCiAwWDA2bNnXRE6geBLEDFDIHgDw8PDKC4uhlwuR2FhIQICApiMzcqVKz2qF8NisaCiogIAkJqayoqGd5vNhp6eHnR0dKCnpwdTpkxBVFTUNdn5eistLS1obW1l3SBQm82G8vJyUBSFtLS0MX+Lk2n57CmwWci0t7ejqakJIpHIYflse3s7Nm7ciMzMTLz77rsOs7Q2m82jN6kIBA+FiBkCwdswm80oKSmBVCpFQUEB/Pz8kJ2djby8PKxZs8at4mF4eBjl5eWYMWMGkpOTWXVjpp27Fi5ciMDAwBF2vvRufHh4uM+VnFEUxTQ/j1dq42tYrVaUl5fD398fqampV/19vx7LZ0+BzULmhx9+wIULF8YV7p2dndiwYQNuvfVW7Nu3zyuuK4HghRAxQyB4M1arFadPn8aBAwdQUFAAs9mMTZs2QSKRICMjw6VOSoODg1AqlQgPD2ddn4hKpUJNTQ0SEhJG2JtTFIW+vj5m0Wqz2UYsWr1d7NGTztVqNeum21sslhFOddd6LSdi+ewp0ENQBQKB180Oul46Ojrw/fffIy0tzeGQ6YsXL2LDhg1YtWoV/vd//9frf+sEggdDxAyB4CvYbDacOXOGydjo9XpkZWVBLBZj3bp1Th3ap9PpUF5ejrlz52LhwoVeWTJzrdAN70uXLnXoSkRRFAYGBqBSqaBWq2E2mz1+0eoINg+FtFgsUCgUCAgImNQMpCPLZx6PN6mDXK+VgYEBKBQKrxyCer3Qv/W0tDRwOJwxj1OpVMjKyoJQKMTHH3/sdb9tAsHLIGKGQPBF7HY7SktLIZVKkZ+fD61Wi40bN0IikWD9+vWTuoNOl1ctWLCAdYubtrY2NDc3T3h+DkVRMBgMjLAxGo3gcrnMotXT+4zsdjtqampgMBggFAp90uBhLMxmMxQKBQIDA51uuX2p5bNer0dYWBhTsuiOz5zNQqarqwv19fXjmltoNBps2rQJiYmJ+OSTT4iQIRCcDxEzBM/n5MmTyMjIuOL/fffdd7jxxhtdHJF3YbfboVAoIJVKIZfL0dXVhfXr10MsFiMzM/O6ehzoeSLx8fE+NxjREZf2iaSlpV13w/vg4CAjbAwGA7MbHxkZ6RG78Zdis9lQXV2N4eFhCIVCj4vPmZhMJigUCgQHByMpKcmlpZT0IFeNRuMWy2dayCxYsADz5893+vt5Et3d3airqxtXyPT09GDTpk1YuHAhPv/8c4/flCAQfAQiZgiej9lsRm9v74jHtm3bhuPHj6O5uZlVJU3Xi91uR2VlJZOxaWlpwbp165Cbm4tNmzYhNDT0qj/PH374Ad9///245VW+xqV9IkKh8IpD8q4Ho9HICJuBgQG378Zfis1mQ0VFBWw22wgLYjYwPDwMhUKB0NBQJCYmuvXvDm35rFKp0Nvb63TLZ51OB6VSyUohc/HiRZw/fx4pKSngcrljHtfX14ecnBzMnTsXMpmMVSKfQHAzRMwQvA+LxYLo6Gj87ne/w7Zt29wdjtdCURRqa2uZjE1DQwMyMjIgkUiwadMmhIeHX3FRZLfb0djYiO7u7nGbYH0Nu92O2tpa6HQ6l/SJDA8PQ6PRQKVSob+/HyEhIcyiNTAw0KnvPRractvPzw+pqamsKp8xGo1QKBSMuYUnbaBcyfKZLlecDMtnNgsZ2tgjJSXF4QBYnU4HsVgMLpeL/Px8t286EAgsg4gZgvchk8lw5513orW1FTfccIO7w/EJKIpCY2MjZDIZZDIZqqursXr1akgkEuTk5IDH48HPzw9WqxW/+tWvYDAY8NFHH016VsKTuXQQqFAodKlTHPDf3Xha2PT29iI4OJgRNs6+DmazGUqlctIb3r2BoaEhKBQKREREYMmSJR4lZEYz2ZbPtJCJjY3FvHnznBGyx6JWq1FdXY3k5GSHmWe9Xg+JRILg4GAcPHiQVUYYBIKHQMQMwfvIysoCABw+fNjNkfgmFEWhubmZKUVTKBRYuXIlsrOz8cUXX6CpqQmHDh1CXFycu0N1GVarFRUVFaAoyiMGgVosFqbMyNmT5ek+kaCgIKc3vHsag4ODUCgU4PP5iIuL82ghM5rrtXxms5DRaDSoqqrC0qVLERkZOeZxBoMBt99+O6ZOnYqioiJWWZMTCB4EETME97F9+3bs2LHD4THnzp1Deno68++Ojg7Mnz8f//73v3H77bc7O0TWQ1EU2tvb8cknn2DXrl2YOnUq4uPjkZ2dDbFYjOjoaK9a4F0LdFZi+vTp1zVPxFnYbDZG2Gi1WkyfPp0RNhPpgboSdHlVWFgYEhISWCVkDAYDFAoFoqKivN5ufKKWz/39/SgvL2elkNFqtaisrERSUhL4fP6Yxw0NDeGOO+6A3W7H4cOHWZWlJhA8DCJmCO5Dq9VCq9U6PEYgEIyoP37ppZfw9ttvo7Oz0+2742xBrVYjKysL4eHheOedd3Ds2DHIZDKcPXsWaWlpkEgkEIvFEAgEXr3guxLDw8NQKpVuca+6Fmw224gyoylTpjDCJiwsbELx00NQvaG8arKhp9vfcMMNWLBggc+duyPL5+HhYZSXl2PhwoWsK+OlbeYTEhIwe/bsMY8zGo346U9/iqGhIRw9ehQhISEujJJAIIyCiBmC90BRFGJjY/HjH/8Yb775prvDYQWtra1Yv349hEIh/vGPfzA7uBRFQaVSIT8/H3K5HKdOnUJSUhIjbLx9Jxv4v8U8l8v1uKbvq8Fut6Ovr49ZtFIUBR6PBz6fj/DwcIfChs5KzJkzB4sWLfK6c78e6On28+fPR0xMjLvDcTqjLZ/p78miRYtYVTbV29uLiooKxMfHY86cOWMeZzKZcPfdd6O3txf/+c9/WGWAQiB4KETMELyHL7/8EuvWrcP58+cRHx/v7nB8nvr6etxyyy24/fbb8dZbb425+KUoCj09PSgsLIRUKsWJEyewePFiiMViSCQSr9zV1+v1UCqVPlFiBFzeP2G1Wkc0hl9aOkcv5ufNm4eYmBivP/eJQPeJsHEoZH9/P5RKJXg8HqxWq0ssnz0FWsgsWbLE4bwss9mMzZs3o6urC8XFxRMalEsgEJwGETME7+Gee+5BW1sbzp496+5QWEF/fz8+//xz/PrXv77qRQy9aD548CBkMhmKi4sRExOD3Nxc5OXlITEx0eNLtfr6+lBRUQGBQOCTO/MURWFgYABqtRoqlQomkwkRERHg8/mYOnUqqqurWWnDy+Y+EfrcFy1ahOjoaAAjLZ81Gg2mTZs2qZbPnkJfXx/Ky8uxePFizJ07d8zjLBYL7r33XrS0tODLL790aNVMIBBcChEzBALBeeh0OhQVFUEul+Po0aOIiopiMjapqakeJ2y0Wi2qqqoQFxfHLOp8GYqiYDAYoFar0dXVheHhYQQHB2P+/Png8Xis6Uujd+bZct0vhV7MOzr3ybZ89hSuJOKuhNVqxdatW1FXV4cTJ044dDgjEAguh4gZAoHgGgwGAw4fPgyZTIYjR46Ay+UyGZv09HS3L4guXryI2tpaJCYmOmz+9UXUajVqamqwYMECUBTFNIZzOBymzMjVc3VcBd30PV6JkS9yNUJmNNdr+ewp0CWF4xkdWK1WPPDAA6isrMSJEydY97eBQPACiJghEAiuZ2hoiHFFKyoqwqxZs5CbmwuJRILly5e73P64o6MDjY2NSE5OZl35CC3iRs/UMBqNzIJVp9MhNDQUfD4fPB7PZwYDajQaVFdXj9v07Ytci5AZzUQtnz2FgYEBKBSKcUsKbTYbfvvb36K0tBQnT55kndglELwEImYIBIJ7GR4eRnFxMeRyOQoLCxEQEMBkbFauXOn0nd6Wlha0trYiNTUVHA7Hqe/laXR2dqKhoWFcEWcymZgFa19fH2bNmoXIyEjw+XwEBga6MOLJg57wPt48EV+ELqsbr09kojiyfL7UYt+d6PV6lJWVjWvyYLfb8fDDD+PUqVMoKSlhXR8VgeBFEDFDIBA8B7PZjJKSEkilUhQUFMDPzw/Z2dnIy8vD6tWrJ3Wnl6IoXLhwAV1dXRAKhZg1a9akvbY30N7ejgsXLiA1NXVCrkxmsxkajQZqtRo9PT0ICgpihE1QUJBXNIarVCrU1NSMO+HdF3GWkBkNbfmsVqvR39/PCODIyEi3WT7T84PGs9222+34n//5H/znP/9BSUmJS53t9u7di127dqG7uxuJiYnYs2cPVq9ePebxMpkM27ZtQ1NTE2JjY/HKK68gLy/PZfESCB4AETMEgrP54osv8OKLL6KqqgpBQUFYs2YN5HK5u8PyeKxWK06fPo0DBw6goKAAJpMJ2dnZkEgkyMjIuK4eDoqiUFdXh56eHgiFQlbN0wD+LxslFAoRGhp6za9jsVig1WqhVquh1WoxY8YMZsEaEhLikcKmu7sbdXV1rCwpvFoL4snGbDZDq9VCpVK5zfLZYDCgrKwM8+bNw4IFC8Y8zm63449//CMOHjyIkpISxMbGOj02ms8//xybN2/G3r17sWrVKuzbtw8ffPABzp8/f8XM0DfffIPVq1fjpZdeQl5eHvLz8/H888/jzJkzWLZsmcviJhDcDBEzBIIzkclkuP/++/Hqq6/illtuAUVRqK6uxh133OHu0LwKm82GM2fOMBkbvV6PrKwsiMVirFu3bkI9HHa7HTU1NTAYDBAKhR5T/uIKnJmNstlsI4TN1KlTmYxNaGioRwgbuqwuJSUFXC7X3eG4FHcJmdG4w/J5cHAQZWVliI6OdihO7HY7tm3bhn//+98oKSlBXFzcpMfiiGXLlkEoFOKvf/0r81h8fDwkEgl27tx52fE//elPMTAwgCNHjjCPbdy4ERwOB//6179cEjOB4AEQMUMgOAur1QqBQIAdO3Zg69at7g7HZ7Db7SgtLYVUKkV+fj60Wi02btwIiUSC9evXO8yy2Gw2VFZWwmw2QygUemyDsjOgKAoNDQ1Qq9UQiUROzUbZ7fYRC1Y/Pz9mJ57D4bjFuY42eZhoWZ0v4KmOba6wfKaFzNy5cxEbGzumWKIoCjt27MD+/ftx4sQJlw9mNpvNCAwMxIEDB0aUiT3yyCOoqKjAqVOnLnvOvHnz8Nhjj+Gxxx5jHtu9ezf27NmDtrY2l8RNIHgA44oZ7zSPJxA8AKVSic7OTvj7+yMtLQ1z5sxBZmYmamtr3R2aV+Pv74+VK1fiz3/+M5qamnDixAksWLAA27dvh0AgwD333IN///vf0Ov1I56n0WiQk5ODzs5OpKens07InD9/HlqtFjfeeKPTy+r8/f3B4/GQmJiINWvWICkpCQBQU1OD06dPo7a2FhqNBna73alx0LS3t+P777+HUCgkQsaD8Pf3R0REBBISEnDzzTcjJSUFU6dORX19PU6ePImqqipcvHgRVqv1ml5/aGgICoUCc+bMGVfI7Ny5Ex999BGKi4tdLmSA/864stlsl5lR8Pl8XLx48YrPuXjx4oSOJxDYincYxhMIHkhzczMAYPv27fjzn/8MgUCAP/3pT7j55pvR2NjIukWVM/D398eNN96IG2+8ETt37kRlZSWkUineeOMNPPTQQ1i3bh1yc3ORlpaGu+66C3w+HxkZGV4zC2MyuLSsLj093eVldf7+/uByueByuViyZAl0Oh1UKhXq6+thtVpHzChxhiV3a2srWlparrs/yBuhhYw3WE/7+fmBw+GAw+EgLi6OsXxubm5GbW3thC2fjUYjFAoF+Hw+Fi1a5FDIvPnmm/jb3/6GL7/8khHe7mJ0nBRFOSy9m+jxBAIbYc8dn0C4SrZv344dO3Y4PObcuXPMrvOzzz6L22+/HQDw4YcfIjo6GgcOHMADDzzg9FjZBJ0BS0tLw8svv4za2lpIpVL86U9/Qnt7OxYvXox77rkHJpPJa1y3rhebzYaqqiqYTCaPyEb5+fkhLCwMYWFhzIJVpVLhwoULqKmpGSFspk2bdt3v19zcjPb2dohEIoSEhEzCGXgP3iRkRuPn54eQkBCEhIRg4cKFjOVzR0cH6urqxrV8NhqNKCsrA4/HQ1xcnEMh89Zbb+Gtt95CcXExUlJSnH1qY0KL+dFZFbVaPaZ1+OzZsyd0PIHAVkjPDIEwCq1WC61W6/AYgUCAb775Brfccgu++uor/OhHP2L+b9myZVi3bh1eeeUVZ4fKeurr63HbbbdhzZo1iI+PR35+Pqqrq7F69WpIJBLk5OSAx+P5pLCxWq2orKyEzWZDWlrapIgDZ0FRFAYHB6FSqaBWqzE4OAgul3vNwxcpikJzczM6OjpYabvtzUJmPMazfB4eHkZZWRmTCXQkZN59913s3LkTR48e9Qj3r2XLlkEkEmHv3r3MYwkJCRCLxWMaAOj1ehw+fJh5LDMzE2FhYcQAgMAmxr2Bk8wMgTCKiIiIq7J0FYlECAgIQENDAyNmLBYLWltbMX/+fGeHyXoUCgU2btyIBx98EC+++CL8/Pzw7LPPorm5GVKpFJ988gkef/xxrFy5EmKxGLm5uZgzZ45PCBuLxYLy8nL4+/tDKBR6fFmdn58fgoODERwcjNjYWAwNDUGlUjE78RwOh1mwjmfJfaljm0gkQnBwsIvOwjPQarWoqqrySSEDADNmzMC8efMwb968ETOPmpubERAQAIvFAg6Hg8WLFzsUMu+99x5eeeUVHDlyxCOEDAA8/vjj2Lx5M9LT07FixQq89957aG9vx4MPPggA2H9gcnQAACAASURBVLJlC+bOncsIm0ceeQRr1qzB66+/DrFYjMLCQhw/fhxnzpxx52kQCB4HycwQCNfBo48+CqlUir///e+YP38+du3ahUOHDqG+vp510+ZdycmTJyEWi/HCCy/g8ccfv+IxFEWhvb0dMpkMcrkcpaWlWLZsGcRiMcRiMaKjo71S2JjNZiiVSgQEBCA5OdkpfSiuhN6JV6lU0Ol0CA0NZYTNaEtuiqLQ2NgIlUrldMc2T4QWMgkJCZg9e7a7w3EptGvZlClTYDabGctnOnNDC3qKovDhhx/imWeeQVFREdasWePmyEeyd+9evPHGG+ju7kZSUhJ2797NxLh27VoIBAJ89NFHzPFSqRTPPfccmpubmaGZP/7xj90UPYHgFog1M4HgTCwWC55++mns378fRqMRy5Ytw549e5CYmOju0Hyabdu2ISYmBvfdd99VHU9RFLq6uiCXyyGTyXD27FmkpaVBIpFALBZDIBB4hbAZHh6GUqlEcHAwkpKS3GKB7ExMJhM0Gg1UKhX6+voQHBwMPp+PyMhIBAYGor6+HlqtFunp6ROaPeQLsFnImM1mlJWVISQkBImJiaAoirF8/uijj7B//36sXbsWEokEBoMBzzzzDA4dOoS1a9e6O3QCgXD9EDFDIBAIl0JRFFQqFfLz8yGXy3Hq1CkkJSUxwmbhwoUeKWxo96awsDAkJCT4nJAZjcViYYRNb28vc75Lly4Fl8v1yGvkLDQaDaqrq5GYmMi65m+z2QyFQsEI+NHX3Wq14vjx45DJZCguLkZfXx9+9KMf4aGHHkJmZibr+qkIBB+EiBkCgUAYC4qi0NPTg8LCQkilUpw4cQKLFy+GWCyGRCJx2GDsSgYHB6FUKsHj8Rz2CvgitPV0X18fQkJC0Nvbi4CAACZjExIS4tOfBxEyCgQFBTnMRFIUBZlMhoceegg7d+6ERqOBXC5HU1MTbrvtNuTl5SE3N/eqeiEJBILHQcQMgUAgXA0URaG/vx8HDx5kdnkFAgHEYjHy8vKQmJjolmyIXq+HUqlEVFSUx2aNnMWlM3Roww2bzYaenh6o1WpoNBpMnTqV6bEJCwvzqc9Ho9GgqqoKSUlJrBMyFosFCoUCM2fOxNKlSx3+9goKCnD//ffjs88+Q05ODvN4Q0MD8vPzkZ+fD6VSiU8++QR33nmnK8InEAiTBxEzBAKBcC3odDoUFRVBLpfj6NGjiIqKQm5uLvLy8pCamuoSYaPT6VBeXo558+YhJibGpxbq42G321FdXY2hoSGIRKIr2jfb7Xamd0KtVsPPzw88Hg98Ph8cDserS/HYLmSUSiWmT5+OlJQUh9exqKgIv/zlL/HPf/4TeXl5Yx7X0dGBwMBAMsyYQPA+iJghEAiE68VgMODw4cOQyWQ4cuQIuFwuI2zS09Odsmju6+tDRUUFFixYwDqr70uHgYpEoquaoWO329Hf388IG5vNxgib8PBwr3J9U6vVqK6uxtKlSxEZGenucFyK1WqFUqnEtGnTxhUyR48exZYtW/D3v/+dZFwIBN+FiBkCgXA5AoEAbW1tIx576qmn8Nprr7kpIu9haGgIx44dg0wmQ1FREWbNmoXc3FxIJBIsX758UhbN9FDEuLg4REdHT0LU3oPNZkNlZSWsVus1DwOlKAo6nY6xfLZYLIiIiACfzweXy/XouTxqtRo1NTVISkpirZCZOnUqUlJSHP6Wjh8/jnvuuQf79u3DPffcw6qsJYHAMoiYIRAIlyMQCLB161bcf//9zGP0UEPC1TM8PIzi4mLI5XIUFhYiICCAETarVq26pkUzvSufkJDgk0MRHWGz2VBeXg6KopCWljYpooOiKOj1eiZjYzQaweVywefzERERcU1iyVmwOSNjs9mgVCrh7++P1NRUh0Lm5MmTuPPOO/Huu+9iy5YtRMgQCL4NETMEAuFyBAIBHn30UTz66KPuDsVnMJvNKCkpgVQqRUFBAfz8/JCdnY28vDysXr36ij0fo+nu7sb58+dZuZi1Wq0oLy+/qsXs9WAwGBhhYzAYEB4ezhgIXM01chZsFzLl5eUAgLS0NIfX/quvvsIdd9yB3bt3Y+vWrUTIEAi+DxEzBALhcgQCAUwmE8xmM2644Qb85Cc/wRNPPOHWxZwvYbVacfr0aRw4cAAFBQUwmUzIzs6GRCJBRkYGAgICLnvOp59+ioiICIhEInC5XDdE7T4sFgvKy8uvqrxoMhkaGmKEzcDAAMLCwhhhM2PGDJfEAAAqlQq1tbVYunQpeDyey97XE7DZbKioqIDdbh83G/fNN98gLy8Pr732Gh566CEiZAgEdkDEDIFAuJzdu3dDKBSCw+Hgu+++w9NPPw2xWIwPPvjA3aH5HDabDWfOnIFMJkN+fj70ej2ysrIgFouxbt06zJw5Ey+99BL+8pe/4ODBg1ixYoW7Q3YptAVvQEAAkpOT3daoPzw8zAib/v5+hISEIDIyEnw+HzNnznTa+7JdyND9UUKh0KGQ+e677yCRSPDiiy/i97//PREyBAJ7IGKGQGAL27dvx44dOxwec+7cOaSnp1/2uEwmwx133AGtVsu6rIArsdvtKC0thVQqRX5+PjQaDVJTU1FZWYn9+/dj/fr17g7RpdBDEQMDA8edJeJKzGYzI2x6e3sRHBzMCJugoKBJex82Cxm73Y7KykpYLJZxhYxSqUROTg62bduGxx57jAgZAoFdEDFDILAFrVYLrVbr8BiBQHDF8pnOzk5ER0ejtLQUy5Ytc1aIhEuw2Wy47777IJPJEBsbiwsXLuC2226DRCJBZmYmZs2a5e4QnYrJZIJCoUBwcLDD6e7uxmKxQKPRQK1Wo6enBzNnzmSETXBw8DUvrNkuZGjrbaFQ6NCEobKyEps2bcJTTz2FJ598kggZAoF9EDFDIBDGp6ioCDk5OWhra8O8efPcHY7PY7fb8fDDD+PgwYM4fvw4Fi5ciMrKSiZj09LSgnXr1iE3NxebNm1CaGioTy3ihoeHoVAoEBoaisTERK85N6vVCq1WC7VaDa1Wi+nTpzM9NhO5RhcvXsT58+eRnJyMiIgIJ0ftWdDDUI1G47gzhGpra5GZmYlHHnkEzz33nNd8TwgEwqRCxAyBQBjJN998g9LSUmRkZCA0NBTnzp3DY489hvT0dBQWFro7PJ/HarXi/vvvx1dffYUvv/zysoGYFEWhtrYWUqkUcrkcDQ0NyMjIgEQiwaZNmxAeHu7Vizqj0QiFQgEOh4OEhASvPRebzYaenh6o1WpoNBpMmTKFETYcDmfM82K7kKmpqcHg4CBEIpFDw5G6ujpkZWXhgQcewI4dO7z2e0IgEK4bImYIBMJIlEolfvOb36C+vh4mkwnz58/HXXfdhSeffBKBgYHuDs/nee6555Cfn4/jx4+PO0eGoig0NjZCJpNBJpOhuroaq1evhkQiQU5ODng8nlct8oaGhqBQKBAREYElS5Z4VeyOsNvt6Ovrg0qlgkajAUVRjLAJDw9nSujYLGQoikJNTQ30ej3S09MdCpnGxkZkZmbi3nvvxauvvuqxJYgEAsElEDFDIBAInoRWqwVFURPuk6AoCs3NzUwpmkKhwMqVKyEWi5Gbm4s5c+Z4tDgYHByEQqEAn89HXFycR8d6PVAUhb6+PsZAwGazgcfjYdq0aejo6EBqairrTDbobOPAwABEItEVrclpmpqakJmZiZ/+9KfYtWsXETIEAoGIGQKBQPA1KIpCe3s7ZDIZ5HI5Y9wgFoshFosRHR3tUWLBYDBAoVAgKioKCxcu9KjYnAlFURgYGEBzczO0Wi38/f3B4/EQGRmJiIgIhw5evgJFUTh//jz6+/uRnp7uUMi0trZi48aNEIvFeOutt4iQIRAIABEzBAKB4NtQFIWuri7I5XLIZDKcPXsWaWlpkEgkEIvFEAgEbhUPer0eSqUS0dHRWLBgAWuEDE13dzfq6uqQnJyMgIAAqFQqqNVqGI1GcLlcREZGMpkbX4OiKNTV1aG3txfp6ekOB5G2t7dj48aN2LhxI/bu3UuEDIFAoCFihkAgENgCRVFQqVQoKCiATCbDqVOnkJSUxAgbV2dFBgYGoFQqMX/+fMTExLjsfT2Frq4u1NfXIyUl5bLSssHBQajVaqhUKhgMBoSHhzN9No76SbwFiqJQX1+Pnp6ecYVMZ2cnNm7ciIyMDOzbt89tg1MJBIJHQsQMgUAgsBGKotDT04PCwkJIpVKcOHECixcvZkrR4uPjnSpsdDodlEolYmJiIBAInPY+ngotZFJTUxEeHu7wWKPRyAibgYEBhIaGgs/nIzIy0qEI8FQoikJDQwM0Gg3S09Mxc+bMMY+9ePEiNm7ciBUrVuDvf/87ETIEAmE0RMwQCAQC26EoCv39/Th48CBkMhmKi4shEAggFouRl5eHxMTESS3r6e/vR3l5OWJjY1k5t2giQmY0w8PD0Gg0UKlU6O/vR0hICJOx8Qa3QdqBT61WQyQSOYxZpVIhKysLQqEQH3/8MSt6iAgEwoQhYoZAIPgeJpMJy5YtQ2VlJcrLy5GamurukLwKnU6HoqIiyOVyHD16FFFRUcjNzUVeXh5SU1OvS9j09vaioqICcXFxiI6OnsSovYPrETKjMZvNjLDp7e1FUFAQk7EJDg6epIgnD4qicOHCBXR3dyM9Pd2hkNFqtcjKykJCQgI+/fRTImQIBMJYjCtmSIcdgUDwOp588klERUW5OwyvJTQ0FD/72c8gk8mgUqnwyiuvoKOjA1lZWVi6dCmefvppfPfdd7Db7RN63Z6eHlRUVGDx4sWsFDKdnZ2TJmQAYPr06Zg7dy6EQiFuvvlmCAQC6PV6fPvtt/j6669x4cIFDAwMYAKbkk6Doig0NTWhq6tr3IxMb28vcnJysGjRInzyySduEzJ9fX3YvHkzQkNDERoais2bN6O/v3/M43t7e/H73/8eixcvRmBgIObNm4eHH34YOp3OhVETCITRkMwMgUDwKo4cOYLHH38cMpkMiYmJJDMziQwNDeHYsWOQyWQoKirCrFmzkJubC4lEguXLlzvsZ9BoNKiurkZ8fPy4w0B9kc7OTjQ0NEyakHGEzWaDVquFWq2GRqPBtGnTEBkZCT6fj9DQULc4xjU1NaGjowPp6ekICgoa87j+/n5kZ2dj7ty5kMlkbjU7yMzMREdHB9577z0AwK9//WsIBAIcOnToisfX1NTghRdewC9+8QskJCSgra0NDz74IJKTkyGVSl0ZOoHAJkiZGYFA8B1UKhVEIhEKCgoQERGBmJgYImacxPDwMIqLiyGXy1FYWIiAgADk5OQgLy8Pq1atGrGb/s9//hOffvopPvzwQ/D5fDdG7R5oIZOWlgYOh+PS97bZbOjt7WWGdE6ZMoXpsQkLC3OJxXFzczPa29uRnp7usPxNp9NBLBaDy+UiPz/freYGdXV1SEhIYGY0AUBpaSlWrFiB+vp6LF68+Kpe58CBA/j5z3+OwcFBUipHIDiHccUM+eURCASvgKIo/OIXv8CDDz6I9PR0tLa2ujskn2bGjBnIyclBTk4OzGYzSkpKIJVKsWXLFvj5+SE7Oxt5eXloaWnBk08+ib/85S+sFDIdHR1obGx0i5ABgClTpoDH44HH4yE+Ph59fX1Qq9Worq4GRVHg8Xjg8/kIDw93irBpaWlBe3s7RCKRQyGj1+tx++23IyQkBHK53O0ubd988w1CQ0MZIQMAy5cvR2hoKL7++uurFjM6nQ4hISFEyBAIboT8+ggEglvZvn07duzY4fCYc+fO4euvv8bAwACefvppF0VGoJk+fTo2bNiADRs24K9//StOnz6NAwcOYPPmzRgaGkJubi4iIiJgMpkcTnj3NdwtZEbj7+8PLpcLLpeLJUuWoL+/H2q1GnV1dbBarYiIiACfzweXy50UC+S2tja0trZCJBJh1qxZYx43ODiIn/zkJ5g+fToKCwsdWjW7iosXLyIyMvKyxyMjI3Hx4sWreo2enh689NJLeOCBByY7PAKBMAGImCEQCG7ld7/7He666y6HxwgEArz88ssoLS29bLGcnp6On/3sZ/j444+dGSbh/zN16lTccsstaGtrw/79+7Fz5060tbXhkUcegV6vR2ZmJiQSCdatW+cRi1ZnQQsZoVCIsLAwd4dzGX5+fuBwOOBwOIiLi8PAwADUajUaGxthMpkQERGByMhI8Hi8a8oqtLe3o7m5GSKRCCEhIWMeNzQ0hDvvvBMUReHQoUMO+2kmg6vdHAFwxd4iiqKuqudoYGAAmzZtQkJCAl544YVrC5ZAIEwKpGeGQCB4Be3t7RgYGGD+3dXVhQ0bNkAqlWLZsmWsdM9yF/v27cMTTzyBgwcPYu3atQAAu92O0tJSSKVS5OfnQ6vVYuPGjZBIJFi/fr3TF7Gu5IcffsCFCxeQlpbmkULGERRFwWAwMD02Q0NDCA8PB5/PB4/Hw7Rp08Z9Dfr8hUIhQkNDxzzOaDTirrvuwuDgII4ePepQ9EwWWq0WWq3W4TECgQCffvopHn/88cvcy8LCwrB792788pe/HPP5er0eGzZsQGBgIIqKitxeMkcg+DjEAIBAIPgmra2txADADbz99tt47rnncPjwYaxateqKx9jtdigUCkilUsjlcnR1deG2226DRCJBZmamw5IkT8ebhcyVGBwcZISNXq8Hh8NhDASuVDJ4tRkpk8mEu+++G729vfjPf/7jcZ8VbQDw7bff4qabbgIAfPvtt1i+fLlDA4CBgQFs2LABAQEBOHz4sFcMMiUQvBwiZggEgm9CxIzrMZvNyMzMxKuvvjqicdoRdrsdlZWVkMlkkMvlaGlpwbp165Cbm4tNmza5zUr4WvA1ITMao9HICBudTofQ0FBG2MycOfOqXdvMZjM2b96Mzs5OHD9+3OlW1ddKZmYmurq6sG/fPgD/tWaeP38+Y83c2dmJW2+9Ff/4xz9w0003Qa/X47bbbsPQ0BDy8/NHZBt5PN6k9CERCITLIGKGQCAQCJPH1fYUjPXc2tpaphStvr4eGRkZkEgk2LRpE8LDwz1W2LS3t6OpqclnhcxoTCYTI2z6+vowY8YMDA8PIyEhweHAWovFgl/84hdobm7Gl19+iYiICBdGPTF6e3vx8MMP4+DBgwCA3NxcvPPOO8z1pTdMSkpKsHbtWpw8eRIZGRlXfK2WlhYIBAJXhU4gsAkiZggEAoHgeVAUhcbGRshkMshkMlRVVWHNmjWQSCTIyckBj8fzGGFDC5nxekR8lR9++AENDQ2YNWsW9Ho9goKCmGzN7NmzGctnq9WKrVu34vz58ygpKbmiWxiBQCBMECJmCAQCgeDZUBSF5uZmJmOjUCiwcuVKiMVi5ObmYs6cOW4TNmwXMhcvXsT58+eRkpICLpcLq9UKjUYDtVqNhx9+GN3d3diwYQPy8vLwySefoKKiAiUlJZg9e7a7QycQCL4BETMEAoFA8B4oikJ7ezvTY0NPaBeLxRCLxYiOjnaZsGG7kFGpVKipqUFycjJ4PN5l/6/X6yGXy1FQUICvvvoKNpsNW7Zswb333osVK1aQHhICgTAZEDFDIBAIBO+Eoih0dXVBLpdDJpPh7NmzSEtLg0QigVgshkAgcJqwaWtrQ3NzM2uFjFqtRnV19ZhChsZut+ORRx7BqVOn8Nxzz+Grr75CYWEhpk2bBolEgttvvx0333zzVVk+EwgEwhUgYoZAIBA8gdzcXFRUVECtVoPD4WDdunV4/fXXHTZTE/4PiqKgUqlQUFAAmUyGU6dOITExERKJBBKJBAsXLpw0YUMLmfEGQvoqGo0GVVVVWLp0qcO+F7vdjj/84Q84evQoSkpKEBMTA+C/vTOnT5+GTCZDfn4+TCYTvv32WyxcuNBVp0AgEHwHImYIBALBE9i9ezdWrFiBOXPmoLOzE3/4wx8AAF9//bWbI/M+KIpCT08PCgsLIZVKceLECSxevJgpRYuPj79mYdPa2oqWlhbWChmtVovKykokJSWBz+ePeZzdbsfTTz+NgoICnDx5ErGxsWMeV1paiuXLlzNGAQQCgTABiJghEAgET+TgwYOQSCQwmUykBOc6oCgK/f39OHjw/7V37zFV148fx19HnZLl8HK84A00vOCtvIuKk6wjGJdDZqaLmbOcNpumK1dqAda0rzZLTadtqbmcF86RGSOSibmIUA4CmmVlppR4KkTwcvIy+Hz/aPD7+SXQCs4Fno/t/PM57w/nxc52dl7n/Xl/3gdks9mUkZGhoKAgxcbGKi4uTgMHDrznL9Hnzp3TuXPnNGzYsCZZZC5duqTCwkINGDCgzgX8lZWVWrFihfbu3avDhw+rb9++bkwJoImhzACAtyktLdX8+fN14cIFZWVleTpOo1JeXq7U1FTZ7Xalp6era9euiomJUVxcnB5++OFai01BQYHKysqabJEpLS1VQUGBQkJCFBAQUOs4wzCUlJSkHTt26PDhwwoJCXFjSgBNEGUGALzF0qVLtXHjRrlcLo0ZM0apqanq0KGDp2M1WteuXVNaWppsNps+/fRTdejQQTExMbJarRo5cmR1sVm+fLmSk5OVk5PTJDbE/F+XL19Wfn6++vfvX+caLsMwtGrVKm3dulWZmZkaNGiQG1MCaKIoMwDQUBISEpSYmFjnmNzcXI0YMULSn+sRSktLdf78eSUmJsrf31+pqaleszlkY+ZyufTZZ5/JZrMpNTVVbdq0UUxMjK5fv679+/fLbrcrNDTU0zHdrqysTMePH1e/fv3UrVu3WscZhqF33nlH69ev16FDh/TQQw+5MSWAJowyAwANpaSkRCUlJXWOCQoKkp+fX43jv/zyi3r06KHs7Owm+SXak27cuKGMjAwlJCTo5MmTCg4O1vjx4xUXF6dx48apRYsWno7oFmVlZcrPz1efPn3UvXv3WscZhqH169drzZo1OnjwYHU5BwA3uGuZaRqf2ADQAMxms8xm8z86t+qHpJs3b9ZnJNwDPz8/nThxQufPn1d2drYuXbqk5ORkzZo1S5IUFRWluLg4hYWFqWXLlh5O2zDKy8uVn5+v4ODguxaZTZs26T//+Y/S09MpMgC8DjMzANDAjh07pmPHjmn8+PFq166dzp49q9dff10XL17UqVOn1KpVK09HbFJWrlxZfbnUkCFDqo9X7Y+yb98+paSk6ObNm4qKipLValV4eHijeZ+uXLmivLw89e7dW4GBgbWOMwxDH3zwgd544w2lpaVp3LhxbkwJAJK4zAwAPO/kyZNauHChCgsLdf36dQUEBCgiIkLLly+vc50C6l9SUpI2bNigzMxMDR48uNZxFRUVysrKqt748erVq4qMjJTVatWjjz6q++67z42p68/Vq1eVl5enoKAgBQUF1TrOMAxt375dr776qlJTUzVhwgT3hQSA/0OZAQCgypo1axQZGfm37sRVtfFjcnKy9u/fr5KSEkVERMhqtcpisej+++9vwMT1p6rIBAYGqlevXrWOMwxDO3fu1Msvv6wDBw4oPDzcjSkB4A6UGQAA6ktlZaXy8vKUnJwsu92u4uJiPfbYY7JarYqMjFSbNm08HfEvXbt2TQ6HQz179lTv3r1rHWcYhnbv3q2FCxfKbrfLYrG4MSUA1ECZAQCgIVRWVqqwsFA2m012u10//fSTJk2apNjYWD3++OPy9/f3ittuX79+XQ6HQ927d9eDDz5Y59jk5GS98MIL2rt3r6ZMmeKmhABQK8oMAAANzTAMnTp1qvpStNOnTys8PFyxsbGKiopS+/btPVJsqopM165dFRwcXGeGlJQUzZ07V7t27VJMTIwbUwJArSgzAAC4k2EY+v7772Wz2WSz2XTixAlNmDBBVqtV0dHR6tixo1uKjcvlksPhUJcuXdSnT586XzM1NVWzZ8/Wzp079cQTTzR4NgC4R5QZAAA8xTAMnT17tnrGJi8vT2PHjlVsbKxiYmIUEBDQIMXmjz/+kMPhUKdOndS3b986XyM9PV3x8fH68MMPNX369HrPAgD/AmUGAPDvnDt3TitXrlRmZqacTqe6du2qZ555RsuWLWu0m0o2BMMwVFRUVL3G5ujRoxo1apRiYmIUGxurHj161EuxqSoyHTt2VL9+/er8m4cOHdKMGTO0ZcsWzZw50yvW+ADA/0OZAQD8O+np6dqzZ49mzJih4OBgff3113r++ecVHx+vtWvXejqeTzIMQ8XFxbLb7bLZbPryyy81dOhQWa1WxcbGKigo6B8Vixs3bsjhcKhDhw7q379/nX/jyJEjeuqpp7RhwwbNmjWLIgPAG1FmAAD1b82aNdq8ebPOnj3r6Sg+zzAM/frrr0pJSZHNZtORI0c0cOBAWa1WWa3Wuy7cr1JVZNq3b6+QkJA6z8nKytLUqVO1bt06zZkzhyIDwFvd9cOpmTtSAAAal/LycrVv397TMRoFk8mkLl26aN68eTp48KCKi4u1YMEC5eTkaNSoUQoNDdWqVav0zTffqLYfIH/++WdlZWWpXbt2dy0yX331lZ588km9/fbbFBkAPo8yAwD4W3788Udt2LBB8+bN83SURsdkMslsNmvOnDlKS0uT0+nUkiVLVFhYqLCwMI0YMUJJSUk6efKkKisrJUkXLlzQ5MmTlZ6ergEDBtRZTnJzczV16lS9+eabmj9/vseKzOXLlxUfHy9/f3/5+/srPj5eZWVl93SuYRiKjIyUyWRSSkpKAycF4O0oMwDQRCUkJMhkMtX5cDgcd5xTXFysiIgITZs2Tc8995yHkjcNJpNJ7dq106xZs3TgwAE5nU4tX75cP/zwgx555BENHTpUS5culcViUd++fbV69eo6y8nx48dltVq1YsUKvfjiix6dkZk5c6YKCgqUnp6u9PR0FRQUKD4+/p7Offfdd5lNAlCNNTMA0ESVlJSopKSkzjFBQUHy8/OT9GeRCQ8P1+jRo7V9+3Y1a8bvYZ5y7do17d27V0uWLFHr1q3VqlUrTaCFlQAABdFJREFURUdHy2q1auTIkTXemxMnTmjKlCl65ZVXtHTpUo+WgW+//VYDBgxQTk6ORo8eLUnKyclRaGioTp8+rX79+tV6bmFhoaKiopSbm6uAgADt379fVqvVXdEBuN9dP6xauCMFAMD7mM1mmc3mexp74cIFhYeHa/jw4dq2bRtFxsNu376t999/X+Hh4dq2bZsyMzNls9kUFxenNm3aKCYmRlarVWPGjNHp06cVFRWlRYsWebzISH+u2fH3968uMpI0ZswY+fv7Kzs7u9Yy43K5NGPGDG3cuFFdunRxV1wAXo4yAwCoU3FxsSZOnKiePXtq7dq1+v3336uf40ul+5WXl2vy5Mnq1q2bdu/erZYtWyouLk5xcXG6ceOGMjIyZLfbNX36dDVv3lwul0uLFy/WihUrPF5kJMnpdKpTp041jnfq1ElOp7PW81566aXqDUcBoAplBgBQp4MHD+rMmTM6c+aMunfvfsdzf+NSZdSDK1euKCIiQh07dtS+fftqbFrq5+en6OhoRUdH69atW0pOTlZycrISExMbvMgkJCQoMTGxzjG5ubmS9JdZDMOoNeOBAweUmZmp/Pz8fx8UQKPCmhkAAHyEy+XS6tWr9dprr1WvZfIW97oGa9euXVq8eHGNu5e1bdtW69at0+zZs2uct2jRIq1fv/6OyxsrKirUrFkzhYWF6fPPP6+X/wGA12HTTAAA4D2qbgBw9OhRjRo1SpJ09OjR6vU9f7Vmxul01ihKgwcP1nvvvafo6Gj16tXLLdkBuB1lBgAAeJfIyEgVFxdry5YtkqS5c+cqMDBQn3zyiaQ/bzgxadIkffTRR9WF53+ZTCbuZgY0fnctM9yOBgAAuNXHH3+swYMHy2KxyGKxaMiQIdq5c2f187dv39Z3330nl8vlwZQAfAEzMwAAAAC8ETMzAAAAABonygwAoNF76623NHbsWLVu3Vpt27b1dBwAQD2hzAAAGr1bt25p2rRpmj9/vqejAADqEZtmAgAavarNHLdv3+7ZIACAesXMDAAAAACfRJkBAAAA4JMoMwAAn5SQkCCTyVTnw+FweDomAKABsWYGAOCTFixYoKeffrrOMUFBQe4JAwDwCMoMAMAnmc1mmc1mT8cAAHgQZQYA0OgVFRWptLRURUVFqqioUEFBgSQpODhYDzzwgIfTAQD+KZNhGPc69p4HAgDgTZ599lnt2LGjxvHDhw9r4sSJ7g8EALgXprsOoMwAAAAA8EJ3LTPczQwAAACAT6LMAAAAAPBJlBkAAAAAPokyAwAAAMAnUWYAAAAA+CTKDAAAXmjTpk3q1auX/Pz8NHz4cH3xxReejgQAXocyAwCAl9mzZ48WLVqkZcuWKT8/X2FhYYqMjFRRUZGnowGAV2GfGQAAvMzo0aM1bNgwbd68ufpYSEiIrFarVq1a5cFkAOBW7DMDAIAvuXXrlvLy8mSxWO44brFYlJ2d7aFUAOCdKDMAAHiRkpISVVRUqHPnzncc79y5s5xOp4dSAYB3oswAAOCFTKY7r64wDKPGMQBo6igzAAB4EbPZrObNm9eYhfntt99qzNYAQFNHmQEAwIu0bNlSw4cPV0ZGxh3HMzIyNHbsWA+lAgDv1MLTAQAAwJ0WL16s+Ph4jRgxQqGhodq6dauKioo0b948T0cDAK9CmQEAwMtMnz5dly5dUlJSki5evKhBgwYpLS1NgYGBno4GAF6FfWYAAAAAeCP2mQEAAADQOFFmAAAAAPgkygwAAAAAn0SZAQAAAOCTKDMAAAAAfBJlBgAAAIBPoswAAAAA8EmUGQAAAAA+iTIDAAAAwCdRZgAAAAD4JMoMAAAAAJ9EmQEAAADgkygzAAAAAHwSZQYAAACAT6LMAAAAAPBJLf7GWFODpQAAAACAv4mZGQAAAAA+iTIDAAAAwCdRZgAAAAD4JMoMAAAAAJ9EmQEAAADgkygzAAAAAHwSZQYAAACAT6LMAAAAAPBJlBkAAAAAPum/LuS343sOwj8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "fig = plt.figure(figsize=(8,8),dpi=100)\n",
    "ax = Axes3D(fig)\n",
    "plt.xlim([-8,0])\n",
    "plt.xlim([-8,0])\n",
    "ax.scatter(np.dot(iris[iris[:,-1]==0][:,:-1], w_iris3d)[:,0], np.dot(iris[iris[:,-1]==0][:,:-1], w_iris3d)[:,1],np.dot(iris[iris[:,-1]==0][:,:-1], w_iris3d)[:,2],c='r')\n",
    "ax.scatter(np.dot(iris[iris[:,-1]==1][:,:-1], w_iris3d)[:,0], np.dot(iris[iris[:,-1]==1][:,:-1], w_iris3d)[:,1],np.dot(iris[iris[:,-1]==1][:,:-1], w_iris3d)[:,2],c='g')\n",
    "ax.scatter(np.dot(iris[iris[:,-1]==2][:,:-1], w_iris3d)[:,0], np.dot(iris[iris[:,-1]==2][:,:-1], w_iris3d)[:,1],np.dot(iris[iris[:,-1]==2][:,:-1], w_iris3d)[:,2],c='b')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "337.597px"
   },
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
